What is (8ab^2)^{-1/2}(8ab^2)^{1/2} ?

The solution to (8ab^2)^{-1/2}(8ab^2)^{1/2} is 1

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simplify (8ab^2)^{-1/2}(8ab^2)^{1/2}

simplify

(8 a b^{2})^{- \frac{1}{2}} (8 a b^{2})^{\frac{1}{2}}

1

Solution steps

(8 a b^{2})^{- \frac{1}{2}} (8 a b^{2})^{\frac{1}{2}}

Apply exponent rule:

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

(8 a b^{2})^{- \frac{1}{2}} (8 a b^{2})^{\frac{1}{2}} = (8 a b^{2})^{- \frac{1}{2} + \frac{1}{2}}

= (8 a b^{2})^{- \frac{1}{2} + \frac{1}{2}}

Add similar elements:

- \frac{1}{2} + \frac{1}{2} = 0

= (8 a b^{2})^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

= 1

34 3^{- \frac{2}{3}}

4 > ∣ - 3 x - 5 ∣

m^{2} + m + 1 = 0

- 5243 - 327

8 x - 6 \geq 10

What is (8ab^2)^{-1/2}(8ab^2)^{1/2} ?
The solution to (8ab^2)^{-1/2}(8ab^2)^{1/2} is 1