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Popular >

simplify (3p^4)^3*(p^2)^7

Solution

simplify

(3 p^{4})^{3} \cdot (p^{2})^{7}

Solution

27 p^{26}

Solution steps

(3 p^{4})^{3} (p^{2})^{7}

Simplify

(3 p^{4})^{3} : 27 p^{12}

= 27 p^{12} (p^{2})^{7}

Simplify

(p^{2})^{7} : p^{14}

= 27 p^{12} p^{14}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

p^{12} p^{14} = p^{12 + 14}

= 27 p^{12 + 14}

Add the numbers:

12 + 14 = 26

= 27 p^{26}

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Frequently Asked Questions (FAQ)

What is (3p^4)^3*(p^2)^7 ?
The solution to (3p^4)^3*(p^2)^7 is 27p^{26}