Question

WILL GIVE MEDAL!!

If (7^2)p = 7^6, what is the value of p?

2

3

4

8

Answer 1

use the power of a power law for indexes

\[(x^a)^b = x^{a \times b}\]

so on the left side, you multiply the powers

then you can equate them and solve for p

Answer 2

Woops!
I think he wants the addition rule, ya?
Unless the problem was pasted incorrectly, it looks like this: \(\large\rm (7^2)p = 7^6\)

Answer 3

yes that's right @zepdrix

Answer 4

Oh maybe Camp takin' a nap :)
I'll show you the rule in case you forgot.

Answer 5

well I read the problem as

\[(7^2)^p = 7^6\]

Answer 6

Exponent Addition Rule:\[\large\rm x^{a}\cdot \color{orangered}{x^{b}}=x^{a+b}\]Do you see how we can maybe apply this to your problem? :o
\[\large\rm (7^2)\color{orangered}{p} = 7^6\]

Answer 7

oh wait, you're right camp!
look at the multiple choice.
They would have to be powers of 7 to be addition rule

Answer 8

so then the question should be

\[(7^2) \times 7^p = 7^6\]

Answer 9

hehe, my bad :D

Answer 10

if you use what @zepdrix originally posted you would be solving

\[p = 7^4\]

Answer 11

no @campbell_st @zepdrix it suppose to be (7^2)p = 7^2
the p isn't an exponent it stays the way I typed it

Answer 12

Hmm, that doesn't quite make sense with your choices though :(
Thinking...

Answer 13

that's what the question is @zepdrix

Answer 14

so the obvious choice is

\[(7^2)^p = 7^6\]

or possibly

\[(7^2) \times (7^p) = 7^6\]

Answer 15

o well, good luck with the answer, the way you posted the question

\[(7^2)p = 7^6\]

doesn't have a solution in your choices

Answer 16

no @campbell_st the p is NOT an exponent. nevermind I already got the answer. its 3

Answer 17

If it's 3, then your question was: (7^2)^p.

p being an exponent.
must've been a typo or something on the website/book that you're looking at.

\[\large\rm (7^2)^3=7^{2\cdot3}=7^6\]