Question

Simplify the expression and write the answer without negative exponents. Assume that all variables are nonzero. (-15^(-2)x^(4)y^(0))/(x^(-8)) 

          Simplify the expression and write the answer without negative exponents. Assume that all variables are nonzero. (-15^(-2)x^(4)y^(0))/(x^(-8))

Added by Marina O.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Simplify the expression and write the answer without negative exponents. Assume that all variables are nonzero. (-15^(-2)x^(4)y^(0))/(x^(-8))
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Transcript

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00:01 In simplifying this expression with all of these exponents, we want to go back and take a look at our properties.
00:07 So a couple of things.
00:08 First, i notice that this thing here, x to the 4th, y to the 8th, is the base of this exponent 3 4ths.
00:16 And inside this parentheses, inside this base, is a product.
00:20 X to the 4th is being multiplied to y to the 8th.
00:24 And that's important because that means that we can take each factor and raise it to the power individually.
00:32 So i could basically rewrite this problem as x to the fourth to the three -fourths times y to the eighth to the three -fourths.
00:45 And so now like i said, we can look at these individually...
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