IXL | Exponent rules with powers of ten

Simplify. Write your answer in the form

where n is an integer.

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question

Simplify. Write your answer in the form

where n is an integer.

key idea

To divide powers of 10, subtract their exponents.

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solution

The given expression is a quotient of powers of 10. To simplify, subtract the exponents.

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To see why this works, expand each power of 10 and cancel the factors the numerator and denominator have in common. You can cancel common factors because they make a factor of 1 in the expression.

This expression is the product of five 10s. So, it is equal to

Looking for more? Try these:

Lesson: Properties of exponents

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C.1Understanding exponents

Lesson: Properties of exponents

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