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Popular >

simplify (8m^7)^2

Solution

simplify

(8 m^{7})^{2}

Solution

64 m^{14}

Solution steps

(8 m^{7})^{2}

Apply exponent rule:

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

(8 m^{7})^{2} = 8^{2} (m^{7})^{2}

= 8^{2} (m^{7})^{2}

8^{2} = 64

= 64 (m^{7})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(m^{7})^{2} = m^{7 \cdot 2}

= 64 m^{7 \cdot 2}

Multiply the numbers:

7 \cdot 2 = 14

= 64 m^{14}

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Frequently Asked Questions (FAQ)

What is (8m^7)^2 ?
The solution to (8m^7)^2 is 64m^{14}