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Back to Drill: Know and apply the properties of integer exponents

Drill: Power of a Power, Product, and Quotient (generated)

Grade 8·~8 min·Common Core Math - Grade 8·container·8-ee-a-1
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A

Power of a Power, Product, and Quotient

1

Simplify each power raised to a power to a single power of the given base and enter the resulting exponent.

1

(45)3(4^{5})^{3}

2

(34)2(3^{4})^{2}

3

(94)4(9^{4})^{4}

4

(92)4(9^{2})^{4}

5

(74)2(7^{4})^{2}

2

Evaluate each power of a product by distributing the exponent to each factor, then computing the numeric result.

1

(4⋅3)3(4 \cdot 3)^{3}

2

(4⋅3)2(4 \cdot 3)^{2}

3

(5⋅10)2(5 \cdot 10)^{2}

4

(11⋅2)2(11 \cdot 2)^{2}

5

(3⋅5)2(3 \cdot 5)^{2}

3

Evaluate each power of a quotient by distributing the exponent to numerator and denominator, then computing the numeric result as a single integer (every draw is constructed to divide evenly).

1

(162)2\left(\frac{16}{2}\right)^{2}

2

(62)3\left(\frac{6}{2}\right)^{3}

3

(183)2\left(\frac{18}{3}\right)^{2}

4

(306)2\left(\frac{30}{6}\right)^{2}

5

(273)2\left(\frac{27}{3}\right)^{2}

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