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Popular >

simplify (70x^6)^2

Solution

simplify

(70 x^{6})^{2}

Solution

4900 x^{12}

Solution steps

(70 x^{6})^{2}

Apply exponent rule:

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

(70 x^{6})^{2} = 7 0^{2} (x^{6})^{2}

= 7 0^{2} (x^{6})^{2}

7 0^{2} = 4900

= 4900 (x^{6})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(x^{6})^{2} = x^{6 \cdot 2}

= 4900 x^{6 \cdot 2}

Multiply the numbers:

6 \cdot 2 = 12

= 4900 x^{12}

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Frequently Asked Questions (FAQ)

What is (70x^6)^2 ?
The solution to (70x^6)^2 is 4900x^{12}