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Popular >

simplify {[(-7/3)^0]^2}^{-8}

Solution

simplify

⎩ ⎨ ⎧ [(- \frac{7}{3})^{0}]^{2} ⎭ ⎬ ⎫^{- 8}

Solution

1

Solution steps

⎩ ⎨ ⎧ [(- \frac{7}{3})^{0}]^{2} ⎭ ⎬ ⎫^{- 8}

Apply exponent rule:

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

= \frac{1}{{ [ ( - \frac{7}{3} ) ^{0} ] ^{2} } ^{8}}

Apply rule

a^{0} = 1, a \neq = 0

(- \frac{7}{3})^{0} = 1

= \frac{1}{( 1 ^{2} ) ^{8}}

Apply rule

1^{a} = 1

1^{2} = 1

= \frac{1}{1 ^{8}}

Apply rule

1^{a} = 1

1^{8} = 1

= \frac{1}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 1

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Frequently Asked Questions (FAQ)

What is {[(-7/3)^0]^2}^{-8} ?
The solution to {[(-7/3)^0]^2}^{-8} is 1