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Popular >

simplify (2x^2)^5

Solution

simplify

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

Solution

32 x^{10}

Solution steps

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

Apply exponent rule:

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

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

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

2^{5} = 32

= 32 (x^{2})^{5}

Apply exponent rule:

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

assuming

a \geq 0

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

= 32 x^{2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= 32 x^{10}

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Frequently Asked Questions (FAQ)

What is (2x^2)^5 ?
The solution to (2x^2)^5 is 32x^{10}