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simplify 6 to the power of -3 over 6 to the power of 5

6^-3 / 6^5

Because the numerator has a negative exponent, use the negative exponent rule b^-n = 1/b^n

To do this move 6^-3 to the denominator:

1 / (6^5 * 6^3)

When you multiply identical numbers with exponents you add the exponents so (6^5 * 6^3) becomes 6^8

Now you have 1 / 6^8

Now raise 6 to the power of 8 to get:

1/1679616

Depending on the format your answer needs to be in you have 3 different answers:

1) 1/6^8 ( Leaving it as an exponent)

2) 1 / 1679616 (As a fraction)

3) 5.9537 x 10^-7 (As a decimal, round as needed)

ege

step-by-step explanation:

egge