Question

(Laws of Exponents with Integer Exponents MC)

Create an equivalent expression for five sevenths raised to the negative first power times eighteen hundredths raised to the second power.

(1.4)(0.18)2
(0.714)(0.18)2
seven fifths raised to the first power times the quantity one over eighteen hundredths raised to the second power
0.02

Answer 1

The equivalent expression of the expression given as five sevenths raised to the negative first power times eighteen hundredths raised to the second power is (a) (1.4) * (0.18)^2

How to determine the equivalent expression?

The expression is given as:

five sevenths raised to the negative first power times eighteen hundredths raised to the second power.

Mathematically, the expression is:

(5/7)^-1 * (18/100)^2

Apply the law of exponent

(7/5)^1 * (18/100)^2

Divide 7 by 5

(1.4)^1 * (18/100)^2

Evaluate the exponent

(1.4) * (18/100)^2

Divide 18 by 100

(1.4) * (0.18)^2

Hence, the equivalent expression of the expression given as five sevenths raised to the negative first power times eighteen hundredths raised to the second power is (a) (1.4) * (0.18)^2

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