Answer: -4009
Step-by-step explanation: hope this helps!
Answer:
![(7x)^{\frac{2}{3} = (\sqrt[3]{7x})^2](https://tex.z-dn.net/?f=%20%287x%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7B7x%7D%29%5E2%20)
Step-by-step explanation:
Given the expression 
, to express this as a radical expressions, we'd apply the rule/law of indices that deals with converting expressions that has rational exponents into radical expressions.
The rule of indices to apply is: ![b^{\frac{m}{n}} = (\sqrt[n]{b})^m](https://tex.z-dn.net/?f=%20b%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%28%5Csqrt%5Bn%5D%7Bb%7D%29%5Em%20)
To apply this to the expression, , the denominator of the fraction of the exponent would determine the root, that is, cube root in this case. The numerator of the exponent would then determine the exponent of the radical expressions.
Thus:
1 1/6 hrs.....1 hr = 60 minutes......1/6 hr = 1/6(60) = 60/6 = 10 minutes....therefore, 1 1/6 hrs = 70 minutes
(7/8) / 70 = x / 1....7/8 of the wall to 70 minutes = x wall in 1 minute
cross multiply
(70)(x) = (7/8)(1)
70x = 7/8
x = (7/8) / 70
x = 7/8 * 1/70
x = 7 / 560 reduces to 1/80 <== she paints 1/80 of the wall in 1 minute
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