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Simplify each expression. Write all answers with positive exponents. Assume that all variables represent positive real numbers. See Example 5 .$$\left(\frac{m^{-2 / 3}}{a^{-3 / 4}}\right)^{4}\left(m^{-3 / 8} a^{1 / 4}\right)^{-2}$$
Algebra
Chapter 10
Roots, Radicals, and Root Functions
Section 2
Rational Exponents
Decimals
Exponents and Polynomials
Equations and Inequalities
Complex Numbers
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
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Okay, so we went to simplify the fallen. So let's cool in this power four and they get up to Okay, so we have i m to the power of negative two times four. That's an eight over three over, Aged of our of negative three. Okay. And I was put in that power of Major, too. So we get a M to department or three over a four, and then we have a two part native to over four. So that's a negative 1/2. Okay, now let's use our product road between our two m's. So that's negative. 8/3, minus 3/4 and in our quotient rule between our ages. So that's a negative 1/2 minus negative. So that's plus three. Okay, so what's 8/3, plus a 3/4? We get three and 5/12 three times 12 plus five. That's a 41/12. Okay, so we get m to the power of negative 41/12 and then we have a That's negative. 1/2 plus three. That's a 5/2. Okay, now let's be right. Are negative experience as a positive exponent, so we leave our A and that's all over M to the power of 41 over 12
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