Pre-Algebra
18 Online
OpenStudy (anonymous):
Simplify the following expression completely: (-2 y^19)^4
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OpenStudy (moonlitfate):
This is just power of powers (I hope I got that right) and the distributive property. :)
OpenStudy (moonlitfate):
\[(-2y ^{19})^4\]
OpenStudy (moonlitfate):
\[=-2^4 *y ^{19*4}\]
OpenStudy (moonlitfate):
@noemi -- Does that help a bit?
OpenStudy (anonymous):
no i don't understand
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OpenStudy (moonlitfate):
Okay, well, what exactly don't you understand?
OpenStudy (anonymous):
are you sopose to times the 19 and 4 and put it \[-2^4*y76\]
OpenStudy (anonymous):
or is it going to be \[-2y^80\]
OpenStudy (moonlitfate):
When you have an exponent raised to another exponent, the two exponents are multiplied, if that makes sense.
OpenStudy (moonlitfate):
\[(y ^{19})^4 = y ^{19(4)} = y ^{76}\]
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OpenStudy (moonlitfate):
And since -2 is in front of the y, you are also going to raise it to the 4th power.
OpenStudy (anonymous):
so you would multiply 4*76 =304 so my problem would be\[-2y^3^0^4\]
OpenStudy (anonymous):
\[-2y^304\]
OpenStudy (moonlitfate):
\[(-2y ^{19})^4 = -2^4*y ^{19*4} = 16y ^{76}\]
OpenStudy (moonlitfate):
The 76 doesn't get multiplied by anything.
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OpenStudy (anonymous):
oh make sense
OpenStudy (moonlitfate):
Try another one. :) I'll just make up something.
OpenStudy (moonlitfate):
\[(-5x^7)^6\]
OpenStudy (anonymous):
its\[-78125x^42\]
OpenStudy (moonlitfate):
Your x exponent is right; the constant isn't. o:
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OpenStudy (moonlitfate):
\[-5^6 = 15625\]
OpenStudy (anonymous):
oh ur right i multiplied the wrong one
OpenStudy (anonymous):
\[(4z^19)^4 = 256z^76\]