Question

Find the product. (3p 4)3 · (p 2)7

Answer 1

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

= 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.

Answer 2

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

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