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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Hello! And thank you for your question!
For this problem we can use the FOIL method/distributive method.
Rewrite the equation to:
(4g³) + (-1)(3g) + (-10)
Then solve:
(4g³) times (3g¹) = 12g⁴
(4g³) times (-10) = -40g³
(-1) times (3g) = -3g
(-1) times (-10) = 10
Final Answer:
12g⁴ - 40g³ - 3g + 10
Answer:
35m
Step-by-step explanation:
Triangle 1 has an 8:20 ratio which can be simplified to 2:5 ratio
so We can apply this to 14
(14/2) * 5
7 * 5
35 meters
-- Gage Millar Algebra 1/2 tutor
