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Popular >

simplify (7x^3)^2(x^8)^{1/2}

Solution

simplify

(7 x^{3})^{2} (x^{8})^{\frac{1}{2}}

Solution

49 x^{10}

Solution steps

(7 x^{3})^{2} (x^{8})^{\frac{1}{2}}

Simplify

(7 x^{3})^{2} : 49 x^{6}

= 49 x^{6} (x^{8})^{\frac{1}{2}}

Simplify

(x^{8})^{\frac{1}{2}} : x^{4}

= 49 x^{6} x^{4}

Apply exponent rule:

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

x^{6} x^{4} = x^{6 + 4}

= 49 x^{6 + 4}

Add the numbers:

6 + 4 = 10

= 49 x^{10}

Popular Examples

simplify \sqrt[3]{12}simplify

factor 18n^2+69n+56 factor

18 n^{2} + 69 n + 56

x^{2} = 20 x + 10

simplify (e/(10))^2 simplify

(\frac{e}{10})^{2}

\frac{x}{3} + 4 \geq x

Frequently Asked Questions (FAQ)

What is (7x^3)^2(x^8)^{1/2} ?
The solution to (7x^3)^2(x^8)^{1/2} is 49x^{10}