38. what is (-4׳y-²)-³ in simplest form using the positive exponents only?
a.
[tex] \frac{ - y6}{64x9} [/tex]
b.
[tex]12x3y6[/tex]
c.
[tex] \frac{y6}{8x9} [/tex]
d.
[tex] \frac{y6}{64x9} [/tex]
a.
[tex] \frac{ - y6}{64x9} [/tex]
b.
[tex]12x3y6[/tex]
c.
[tex] \frac{y6}{8x9} [/tex]
d.
[tex] \frac{y6}{64x9} [/tex]
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✒️EXPONENTS
what is
in simplest form using the positive exponents only?
» Using the laws of exponents, we can solve for simplest form of the given expression.
Power of a Power Rule:![\Big[\rm (x^m)^n = x^{mn}\Big]](https://tex.z-dn.net/?f=%20%5CBig%5B%5Crm%20%28x%5Em%29%5En%20%3D%20x%5E%7Bmn%7D%5CBig%5D%20 "\Big[\rm (x^m)^n = x^{mn}\Big]")
» If an exponent is raised to the power of the another exponent, then the two exponents are multiplied.
Negative Exponent Rule:![\Big[ \rm x^{\text-n} = 1/x^n \Big]](https://tex.z-dn.net/?f=%20%5CBig%5B%20%5Crm%20x%5E%7B%5Ctext-n%7D%20%3D%201%2Fx%5En%20%5CBig%5D%20 "\Big[ \rm x^{\text-n} = 1/x^n \Big]")
» If an exponent of the base is negative, then it will turn to its reciprocal.
» Simplify.
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