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Mathematics

1 answer:

Oxana [17]4 years ago

3 0

I believe the answer would be A

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Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

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3 years ago

Thevalley was at least 4 feet below sea level Inequality? PLEASE HELP DUE TODAY!!!!

alukav5142 [94]

X less than or equal to -4

7 0

3 years ago

What is the Ratio of 18:24, 4:70, 35:105, 22:7, 12:165, In fractions in their Simplest form?

Degger [83]

18:24 = 3/4
4:70 = 2/35
35:105 = 1/3
22:7 = 22/7
12:165 = 4/55

7 0

4 years ago

I need help with 8 9 thanks

sasho [114]

#8: $900. (I found this answer by multiplying 3000 and 0.3 by the way)
#9: 160 miles. I found this answer by multiplying 80 by two, since two halves/50% make a whole or 100%.

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3 years ago

Find the slope of the line that passes through (3, 5) and (1, 14).

Advocard [28]

Answer:

- 9/2

Step-by-step explanation:

slope m = (y2 - y1) /(x2 - x1) = (14 - 5)/(1 - 3)= 9/(-2)= - 9/2

4 0

4 years ago