The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
<h3>How to evaluate the expression?</h3>
The expression is given as:
(8x)^-2/3 * (27x)^-1/3
Evaluate the exponent 8^-2/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3
Evaluate the exponent (27x)^-1/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3
Multiply 1/4 and 1/3
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3
Evaluate the exponent
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)
This gives
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)
So, we have
(8x)^-2/3 * (27x)^-1/3 = 1/12x
Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
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To get a decimal form of a fraction, divide the numerator by the denominator.
7/8 = 0.875
Answer:
24
Step-by-step explanation:
P is equal to 16 divided by 2/3, therefore, you can multiply 16 by the reciprocal
of 2/3, which would be 3/2, and you get 24. Hope it helped :)
Answer: The answer is 42 :)
Step-by-step explanation: F(x)=-9x-3 plug in the -5 in the -9x
-9(-5)-3
45-3=
42
D
7•4 =28, -5•0 =0... 28+0=28