The simplified expressions are 2^-2 and 60^6
<h3>How to simplify the expressions?</h3>
<u>Expression (a)</u>
We have:
2^3 * 2^-5
Apply the product law of indices
2^3 * 2^-5 = 2^(3 - 5)
Evaluate the difference
2^3 * 2^-5 = 2^-2
<u>Expression (b)</u>
We have:
(60^2)^3
Apply the power law of indices
(60^2)^3 = 60^(2 * 3)
Evaluate the product
(60^2)^3 = 60^6
Hence, the simplified expressions are 2^-2 and 60^6
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The answer is 1.64 feet. 1.64 x 12 = 19.68 inches
19.68 x 2.54 cm= 49.9872 cm
Answer:
x = - 16
Step-by-step explanation:
The equation relating two proportional quantities is
y = kx ← k is the constant of proportionality
To find k use the condition when y = 1, x = - 4
k =
= - 
y = -
x ← equation of proportionality
when y = 4, then
4 = -
x (multiply both sides by - 4 )
x = - 16
First we put 7 in the place of y, after that subtract 7 from both sides, the answer is -2.
x + y= 5 y = 7
x+ 7=5
x= 5-7
x = -2