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Popular >

simplify (7^{-6})/(7^{-2)}

Solution

simplify

\frac{7 ^{- 6}}{7 ^{- 2}}

Solution

\frac{1}{2401}

+1

Decimal Notation

0.00041 \dots

Solution steps

\frac{7 ^{- 6}}{7 ^{- 2}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 7^{- 6 - (- 2)}

Apply rule

- (- a) = a

= 7^{- 6 + 2}

Add/Subtract the numbers:

- 6 + 2 = - 4

= 7^{- 4}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{7 ^{4}}

7^{4} = 2401

= \frac{1}{2401}

Popular Examples

simplify \sqrt[4]{162}simplify

factor x^2+16x+64 factor

x^{2} + 16 x + 64

0=(x-1/2)^2-81/4

0 = (x - \frac{1}{2})^{2} - \frac{81}{4}

13 = \frac{5}{2} (5 x + 4)

-16x^2+10x+15=0

- 16 x^{2} + 10 x + 15 = 0

Frequently Asked Questions (FAQ)

What is (7^{-6})/(7^{-2)} ?
The solution to (7^{-6})/(7^{-2)} is 1/2401