HELP! What is: 2p2q5 X 6p5q3 and (x to the power of 4) to the power of 4?

Question

It may look complicated but sp sqaured q to the power of 5 multiplied by 6p to the power of 5 q cubed.

Answer 1

PROBLEM 1:

Your question is a little unclear but I'll assume it is:

2 p^2 q^5 * 6 p^5 q^3

Remember one basic rule of exponents:
a^b * a^c = a^(b+c)

So you have 2 * 6 * p^(2+5) * q^(5+3)

This becomes 12 p^7 q^8

PROBLEM 2:

(x^4)^4

This uses another rule of exponents:
(a^b)^c = a^(b*c)

So your answer is:
x^(4*4)
= x^16

(Note on problem 1: If you really meant (2p)^2q^5 * (6p)^5q^3, then you would have to expand out the coefficients... so you would have 2 x 2 x 6 x 6 x 6 x 6 x 6, instead of just 2 x 6. In the future, include parentheses if needed, and use ^ for exponentiation. Without parentheses, the exponent takes precedence so 2p^2 is just 2 times p squared, not (2p) squared.)