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Popular >

simplify (2m^5)^6

Solution

simplify

(2 m^{5})^{6}

Solution

64 m^{30}

Solution steps

(2 m^{5})^{6}

Apply exponent rule:

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

(2 m^{5})^{6} = 2^{6} (m^{5})^{6}

= 2^{6} (m^{5})^{6}

2^{6} = 64

= 64 (m^{5})^{6}

Apply exponent rule:

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

assuming

a \geq 0

(m^{5})^{6} = m^{5 \cdot 6}

= 64 m^{5 \cdot 6}

Multiply the numbers:

5 \cdot 6 = 30

= 64 m^{30}

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Frequently Asked Questions (FAQ)

What is (2m^5)^6 ?
The solution to (2m^5)^6 is 64m^{30}