What is the value of the missing exponent? (Type only the numerical value of the missing exponent. Do not skip any spaces.)
(2x3)?=4x6
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OpenStudy (anonymous):
6?
OpenStudy (kamille):
oh, firstly, you need to multiply 4x6. What is the answer?
OpenStudy (kamille):
And no, it is not 6
OpenStudy (anonymous):
24
OpenStudy (phi):
is that
\[ (2x^3)^? = 4x^6 \]
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OpenStudy (anonymous):
its 4x^6
OpenStudy (anonymous):
(2x^3)?=4x^6
OpenStudy (phi):
what is
\[ 2x^3 \cdot 2x^3 = ?\]
OpenStudy (anonymous):
4
OpenStudy (phi):
2^2 = 2*2= 4
x^3 * x^3 is the same as
x*x*x * x*x*x = x*x*x*x*x*x
or in short hand (who want to type that out?) x^6
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OpenStudy (anonymous):
so now what
OpenStudy (phi):
do you agree
2x^3 * 2x^3 = 4x^6
how do you rewrite the left side using powers?
if it were just
A*A= B
you know that is A^2= B
or
(stuff)*(stuff) = (stuff)^2
OpenStudy (anonymous):
(2x^3)?
OpenStudy (phi):
to what power?
OpenStudy (anonymous):
3
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OpenStudy (anonymous):
wait no
OpenStudy (phi):
(2x^3)^3 = 2x^3 * 2x^3 * 2x^3
that is not what we want
OpenStudy (anonymous):
2?
OpenStudy (phi):
(2x^3)^2 = 2x^3 * 2x^3
OpenStudy (phi):
and 2x^3 * 2x^3 is 2*2*x^3 * x^3 = 4x^6
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OpenStudy (anonymous):
okay so it is 2 correct
OpenStudy (anonymous):
(2x3)^2=4x^6
OpenStudy (phi):
you can multiply it out and check it.
OpenStudy (anonymous):
ok
OpenStudy (phi):
but I did up above.
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OpenStudy (anonymous):
What is the standard form of the number written in scientific notation? (DO NOT TYPE COMMAS in your answer.)
3.76* 10^4
OpenStudy (anonymous):
37600
OpenStudy (anonymous):
Am i correct ?
OpenStudy (phi):
yes. you can (sort of) check by changing 37600 back to scientific notation