Verified Answer :

Answer:

3p^26

Step-by-step explanation:

Given: (3p^4)^3 . (p^2)^7

Using the power of power rule :(a^n)^m = a^mn, we get

3p^(43) . p^(27)

= 3p^12 . p^14

Using the base rule: a^ m . a^n = a^(m+n), we get [If we have the same base in multiplication, we can add the powers]

= 3p^(12 + 14)

= 3p^26

Answer: 3p^26

Hope this will helpful.

Thank you.

JeanaShupp

Answer: \(3p^{26}\)

Step-by-step explanation:

The given expression: \((3p^4)^3\cdot(p^2)^7\)

According to the law of exponents  (Power rule):

\((a^x)^y = a^{xy}\), we get

\(=3p^{4\times3}\cdot p^{2\times7}\\\\= 3p^{12}\cdot p^{14}\)

According to the law of exponents  (Base rule):

\(a^x .\cdot a^y = a^{x+y}\), we get

\(3p^{12}\cdot p^{14}=3p^{12 + 14}= 3p^{26}\)

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