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Popular >

simplify (10x^2)^2

Solution

simplify

(10 x^{2})^{2}

Solution

100 x^{4}

Solution steps

(10 x^{2})^{2}

Apply exponent rule:

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

(10 x^{2})^{2} = 1 0^{2} (x^{2})^{2}

= 1 0^{2} (x^{2})^{2}

1 0^{2} = 100

= 100 (x^{2})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 100 x^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= 100 x^{4}

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Frequently Asked Questions (FAQ)

What is (10x^2)^2 ?
The solution to (10x^2)^2 is 100x^4