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Popular >

simplify (7j^2)^3

Solution

simplify

(7 j^{2})^{3}

Solution

343 j^{6}

Solution steps

(7 j^{2})^{3}

Apply exponent rule:

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

(7 j^{2})^{3} = 7^{3} (j^{2})^{3}

= 7^{3} (j^{2})^{3}

7^{3} = 343

= 343 (j^{2})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(j^{2})^{3} = j^{2 \cdot 3}

= 343 j^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 343 j^{6}

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Frequently Asked Questions (FAQ)

What is (7j^2)^3 ?
The solution to (7j^2)^3 is 343j^6