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Popular >

simplify (3m^4)^3

Solution

simplify

(3 m^{4})^{3}

Solution

27 m^{12}

Solution steps

(3 m^{4})^{3}

Apply exponent rule:

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

(3 m^{4})^{3} = 3^{3} (m^{4})^{3}

= 3^{3} (m^{4})^{3}

3^{3} = 27

= 27 (m^{4})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(m^{4})^{3} = m^{4 \cdot 3}

= 27 m^{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= 27 m^{12}

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Frequently Asked Questions (FAQ)

What is (3m^4)^3 ?
The solution to (3m^4)^3 is 27m^{12}