What is the simplified expression for 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the powe r of 2 whole over 3 to the power of 5 multiplied by 4 to the power of negative 2? a. 3 over 4
b. 4 over 3
c. 4 to the power of 2 over 3
d. 3 to the power of 3 over 4
1 answer:
Writing out: 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the power of 2 whole over 3 to the power of 5 multiplied by 4 to the power of negative 2
(4^(-3) * 3^4 * 4*2) / (3^5 * 4^(-2))
= (4^(-3+2) * 3^4) * 3^(-5) * 4^2
= 4^(1) * 3^(-1)
= 4/3
b. 4 over 3
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