Exponents - Algebra 2
Card 1 of 3072
Evaluate: 
Evaluate:
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We need to remember to do the exponent first before applying the negative sign.
Answer is 
.
Answer is
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Evaluate 
Evaluate
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With the negative inside the parenthesis, we multiply the base four times. Since the exponent is even, our answer will be even. Answer is 
.
With the negative inside the parenthesis, we multiply the base four times. Since the exponent is even, our answer will be even. Answer is
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Expand:
Expand:
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When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.
When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.
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Simplify: 
Simplify:
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When dividing exponents with the same base, we subtract the exponents while keeping the base the same.
When dividing exponents with the same base, we subtract the exponents while keeping the base the same.
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Simplify:
Simplify:
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When exponents with the same base are divided, we will simply subtract the exponents and keep the base the same.
Divide:
When exponents with the same base are divided, we will simply subtract the exponents and keep the base the same.
Divide:
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Evaluate:
Evaluate:
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When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.
is expanded out to 
.
When we multiply the numbers, we get a product of 
.
When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.
When we multiply the numbers, we get a product of
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Simplify: 
Simplify:
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Although the bases are not the same, we know that 
. Therefore, 
. When multiplying exponents with the same base, we just add the exponents and keep the base the same.
Although the bases are not the same, we know that
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Simplify: 
Simplify:
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Although the base is not the same, we know that 
. Therefore 
. When dividing exponents with the same base, we subtract the exponents while keeping the base the same.
Although the base is not the same, we know that
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Simplify:
Simplify:
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When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply:
When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply:
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Simplify:
Simplify:
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When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply:
When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply:
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Convert 
to base 
.
Convert
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First, we know that 
is divisible by 
.
Therefore:
The answer is:
First, we know that
Therefore:
The answer is:
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Simplify:
Simplify:
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When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply:
When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply:
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Convert 
to base 
.
Convert
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First, we know 
is divisible by 
.
Therefore:
We can set-up an equation by applying the power rule of exponents.
When a number to a power is raised by an exponent, we add the exponents. Write an equation and solve for 
.
Simplify.
The answer is:
First, we know
Therefore:
We can set-up an equation by applying the power rule of exponents.
When a number to a power is raised by an exponent, we add the exponents. Write an equation and solve for
Simplify.
The answer is:
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Convert 
to base 
.
Convert
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First, know 
is divisible by 
.
Therefore:
We can set-up an equation by applying the power rule of exponents.
When a number to a power is raised by an exponent, we add the exponents. Write an equation and solve for 
.
Simplify.
The answer is:
First, know
Therefore:
We can set-up an equation by applying the power rule of exponents.
When a number to a power is raised by an exponent, we add the exponents. Write an equation and solve for
Simplify.
The answer is:
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Convert 
to base 
Convert
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First, we know the following:
In order to figure out the whole exponent, we can apply the power rule for exponents.
First, we know the following:
In order to figure out the whole exponent, we can apply the power rule for exponents.
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Simplify 
Simplify
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First, combine exponents of like variables. This gives us 
First, combine exponents of like variables. This gives us
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Evaluate:
Evaluate:
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We can expand 
to the following:
The product is:
We can expand
The product is:
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Evaluate:
Evaluate:
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We can expand 
to the following:
The product is:
We can expand
The product is:
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Simplify 
Simplify
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First, combine exponents of like variables. This gives us 
which simplifies to 
First, combine exponents of like variables. This gives us
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Expand: 
Expand:
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To expand the exponent, we multiply the base by whatever the exponent is.
To expand the exponent, we multiply the base by whatever the exponent is.
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