Simplify: (h2)5 (1 point)
(0 pts) h7 I thought it was this one
(0 pts) h5
(0 pts) h2
(1 pt) h10 It was this one obviously c:
Can someone explain how I should of gotten h10?
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OpenStudy (anonymous):
\[(h^2)^5 \] Is this it?
OpenStudy (anonymous):
The problem yesh c:
OpenStudy (anonymous):
Well let's say we have \[(x)^3\]
we can rewrite it as \[(x)*(x)*(x)\]
right?
OpenStudy (anonymous):
Apply that same thing to this problem.
OpenStudy (anonymous):
\[(h^2)^5= (h^2)*(h^2)*(h^2)*(h^2)*(h^2) \]
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OpenStudy (anonymous):
Which can further be simplified to\[(h^2)*(h^2)*(h^2)*(h^2)*(h^2)= h*h*h*h*h*h*h*h*h*h=h^{10}\]
OpenStudy (anonymous):
See it?
OpenStudy (anonymous):
*Facepalm*
OpenStudy (anonymous):
I do see it now haha thanks
OpenStudy (anonymous):
All that means is that if you have the exponent of a variable that already has an exponent all you do is multiply the exponents
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OpenStudy (anonymous):
In this case you had 2 and 5
OpenStudy (anonymous):
which makes 10
OpenStudy (anonymous):
I was thinking okay well if I lay out 2 h's then 5 h's I would have 7 but when you take h^2 It's not just one H like I was thinking for whatever reason XD