Simplify (15s^-4)/(5s^-8)

15s-45s-8

Move s-8 to the numerator using the negative exponent rule 1b-n=bn.

15s-4s85

Multiply s-4 by s8 by adding the exponents.

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Move s8.

15(s8s-4)5

Use the power rule aman=am+n to combine exponents.

15s8-45

Subtract 4 from 8.

15s45

Cancel the common factor of 15 and 5.

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Factor 5 out of 15s4.

5(3s4)5

Cancel the common factors.

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Factor 5 out of 5.

5(3s4)5(1)

Cancel the common factor.

5(3s4)5⋅1

Rewrite the expression.

3s41

Divide 3s4 by 1.

3s4

Simplify (15s^-4)/(5s^-8)