Integer Exponents - College Algebra

When a term with an exponent is raised to another power, multiply the exponents. Thus

When similar terms raised to n are multiplied, simply add the exponents. Thus

When similar terms raised to n are divided, subtract the exponents. Thus

When similar terms raised to n are divided, subtract the exponents. Thus

When similar terms raised to n are divided, subtract the exponents. Thus

When a term with an exponent is raised to another power, multiply the exponents. Thus

Begin by distributing the exponent through the parentheses. The power rule dictates that an exponent raised to another exponent means that the two exponents are multiplied:

Any negative exponents can be converted to positive exponents in the denominator of a fraction:

The like terms can be simplified by subtracting the power of the denominator from the power of the numerator:

Use the power rule to distribute the exponent:

Simplify the following expression:

To raise exponents to another power, we need to multiply them:

So we get:

When an exponent is being raised by another exponent, we just multiply the powers of the exponents and keep the base the same.

When an exponent is being raised by another exponent, we just multiply the powers of the exponents and keep the base the same.

Combine the following terms:

We need to multiply three terms together. We should recognize that the t must be left alone, because it cannot be combined with the x's.

First, multiply all three coefficients

Next, combine the x's. Because we are multiplying, we will add the exponents.

Now, put it all together to get:

When common variables with exponents are divided, the exponents are subtracted.

When like terms with exponents are multiplied, you add the exponents.

When similar terms raised to n are multiplied, simply add the exponents. Thus

When similar terms raised to n are multiplied, simply add the exponents. Thus

The root of is . Thus

The root of is . Thus

The root of is thus