What is (2a)^{-1}(2a)^{-2}(2a)^3 ?

The solution to (2a)^{-1}(2a)^{-2}(2a)^3 is 1

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simplify (2a)^{-1}(2a)^{-2}(2a)^3

simplify

(2 a)^{- 1} (2 a)^{- 2} (2 a)^{3}

1

Solution steps

(2 a)^{- 1} (2 a)^{- 2} (2 a)^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(2 a)^{- 1} (2 a)^{- 2} (2 a)^{3} = (2 a)^{- 1 - 2 + 3}

= (2 a)^{- 1 - 2 + 3}

Add/Subtract the numbers:

- 1 - 2 + 3 = 0

= (2 a)^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

= 1

15 - 3 (2 + 10)

\frac{1}{2} \div 9

7 - (- 10)

(- \frac{1}{8})^{- \frac{1}{3}}

(2 x + 3 a) (2 x - 3 a)

What is (2a)^{-1}(2a)^{-2}(2a)^3 ?
The solution to (2a)^{-1}(2a)^{-2}(2a)^3 is 1