Quiz about Power of Powers with Rational Numbers

Question 1

The number that indicates how many times the based is used as a factor.

Accepted Answer

Exponent

Answer

Pi

Answer

Power

Answer

Radical Symbol

Question 2

A number produced by raising a base to an exponent.

Accepted Answer

Power

Answer

Pi

Answer

Real Numbers

Answer

Exponent

Question 3

Find the power of a power, keep the base and multiply the exponents.

Accepted Answer

Power of Powers Property

Answer

Power of Products Property

Answer

Quotient of Powers Property

Answer

Negative Exponent Property

Answer

Zero Exponent Property

Question 4

(52)3

Accepted Answer

56

Answer

55

Answer

57

Answer

58

Question 5

Question 5.

Accepted Answer

63/2

Answer

216

Answer

61/2

Answer

62

Question 6

Rewrite the expression using a rational exponent:

Accepted Answer

$$x^{\frac{7}{4}}$$

Answer

$$x^{\frac{4}{7}}$$

Answer

$$x^{\frac{1}{7}}$$

Answer

$$x^{\frac{1}{4}}$$

Question 7

(r4)6

Accepted Answer

r24

Answer

10r

Answer

r10

Answer

24r

Question 8

(x5)4

Accepted Answer

x20

Answer

x9

Answer

x

Answer

x54

Question 9

Simplify
(3x³y⁵)⁴

Accepted Answer

81x¹²y²⁰

Answer

3x¹²y²⁰

Answer

12x¹²y²⁰

Answer

81x7y9

Question 10

(ab)2

Accepted Answer

a2b2

Answer

ab2

Answer

a2b

Question 11

(9xyz)8

Accepted Answer

9⁸x⁸y⁸z⁸

Answer

72xyz8

Answer

72x⁸y⁸z⁸

Answer

9/xyz8

Question 12

Simplify

Accepted Answer

$$x^{20}y^8$$

Answer

$$\frac{x^{28}y^{12}}{x^2y}$$

Answer

$$\frac{x^{28}y^{12}}{x^8y^4}$$

Question 13

(x⁵y⁴z³)²

Accepted Answer

x¹⁰y⁸z⁶

Answer

x⁷y⁶z⁵

Answer

x¹⁰y⁶z⁵

Answer

x²⁵y¹⁶z⁹

Question 14

Simplify (3x⁴y⁵)²

Accepted Answer

9x⁸y¹⁰

Answer

6x⁸y¹⁰

Answer

3x⁸y¹⁰

Answer

x8y10

Question 15

Simplify: (y^-4)^-2

Accepted Answer

y8

Answer

y6

Answer

y-6

Answer

y-8

Question 16

a product of repeating factors

Accepted Answer

powers

Answer

cube root

Answer

negative exponent rule

Answer

rational number

Power of Powers with Rational Numbers

16 questions

The number that indicates how many times the based is used as a factor.

A number produced by raising a base to an exponent.

Find the power of a power, keep the base and multiply the exponents.

(5²)³

Rewrite the expression using a rational exponent:

(r⁴)⁶

(x⁵)⁴

Simplify
(3x³y⁵)⁴

(ab)²

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Power of Powers with Rational Numbers

16 questions

The number that indicates how many times the based is used as a factor.

A number produced by raising a base to an exponent.

Find the power of a power, keep the base and multiply the exponents.

(52)3

Rewrite the expression using a rational exponent:

(r4)6

(x5)4

Simplify(3x3y5)4

(ab)2

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(5²)³

(r⁴)⁶

(x⁵)⁴

Simplify
(3x³y⁵)⁴

(ab)²