Exponent Laws Area

Which Expression is equivalent to (144k²r¹⁴)^1/2 for all positive values of k and r?

• 12kr⁷

• 72kr⁷

• 144kr⁷

• 12k²r¹⁴

Which expression is equivalent to the expression for all values of q where the expression is defined?

• q²⁷

• 1/q²⁷

• q³

• 1/q³

Which answer is the given expression fully simplified?

• 32q⁷/w

• 20q¹⁷w⁹

• 32q⁷w⁹

• 20qw

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, which expression represents the width of the rectangle in yards?

• 9x³y²

• 48x⁶y⁴

• 9x⁶y⁴

• 60x¹²y¹²

The expression (x³)(x^-17) is equivalent to xⁿ. What is the value of n?

• n = 20

• n = -14

• n = -51

• n = 14

Which expression is equivalent to (7x³)²(x⁸)^1/2?

• 14x¹⁰

• 49x¹⁰

• 14x⁷

• 49x⁷

Which expression is equivalent to the given expression?

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Which expression is equivalent to the following expression? (13x²y^-7z⁴)⁰

• x²z⁴/y⁷

• 13x²z⁴/y⁷

• 13

• 1

Simplify the expression (ab⁴)(2ab⁴)^-3

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A circle has a radius of 6x⁹y⁵ cm. The area of a circle can be found using the equation in the picture. What is the are of this circle in square centimeters?

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