What is \sqrt[3]{(6.25)^{2x-3}} ?

The solution to \sqrt[3]{(6.25)^{2x-3}} is 6.25^{(2x-3)/3}

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simplify \sqrt[3]{(6.25)^{2x-3}}

simplify

6.2 5^{\frac{2 x - 3}{3}}

Solution steps

Apply radical rule:

= ((6.25)^{2 x - 3})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (6.25)^{(2 x - 3) \frac{1}{3}}

Simplify

(2 x - 3) \frac{1}{3} : \frac{2 x - 3}{3}

= (6.25)^{\frac{2 x - 3}{3}}

Remove parentheses:

(a) = a

= 6.2 5^{\frac{2 x - 3}{3}}

10 x y (e^{- (x^{2} + y^{2})})

(1222.84) (1 + 0.01486)^{- 8}

\frac{17}{7}

e^{- \frac{3}{x} y}

4 8^{4 x^{2}}

What is \sqrt[3]{(6.25)^{2x-3}} ?
The solution to \sqrt[3]{(6.25)^{2x-3}} is 6.25^{(2x-3)/3}