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Popular >

simplify 6(-3m)^4

Solution

simplify

6 (- 3 m)^{4}

Solution

486 m^{4}

Solution steps

6 (- 3 m)^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

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

= 6 (3 m)^{4}

Apply exponent rule:

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

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

= 6 \cdot 3^{4} m^{4}

3^{4} = 81

= 6 \cdot 81 m^{4}

Multiply the numbers:

6 \cdot 81 = 486

= 486 m^{4}

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Frequently Asked Questions (FAQ)

What is 6(-3m)^4 ?
The solution to 6(-3m)^4 is 486m^4