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Popular >

simplify (4x^5)^2

Solution

simplify

(4 x^{5})^{2}

Solution

16 x^{10}

Solution steps

(4 x^{5})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 x^{5})^{2} = 4^{2} (x^{5})^{2}

= 4^{2} (x^{5})^{2}

4^{2} = 16

= 16 (x^{5})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(x^{5})^{2} = x^{5 \cdot 2}

= 16 x^{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= 16 x^{10}

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Frequently Asked Questions (FAQ)

What is (4x^5)^2 ?
The solution to (4x^5)^2 is 16x^{10}