Laws of Exponents

Laws of Exponents

9th Grade

15 Qs

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Laws of Exponents

Laws of Exponents

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

Created by

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the power of a quotient rule in exponents?

When raising a quotient to a power, apply the exponent to both the numerator and the denominator: (a/b)^n = a^n / b^n.

The exponent applies only to the numerator: (a/b)^n = a^n / b.

The exponent applies only to the denominator: (a/b)^n = b^n / a.

The exponent is ignored when dealing with quotients: (a/b)^n = a/b.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the quotient of powers rule in exponents?

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

When adding two powers with the same base, keep the base and add the exponents: a^m + a^n = a^(m+n).

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the power of a product rule in exponents?

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

The exponent applies only to the first factor in the product: (ab)^n = a^n * b.

The product of the factors is raised to the power: (ab)^n = ab^n.

The exponent is distributed equally among the factors: (ab)^n = (a^n)(b^n).

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What does @@ a^m \times a^n @@ equal?

@@ a^{m+n} @@

@@ a^{m-n} @@

@@ a^{m\cdot n} @@

@@ a^{m/n} @@

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How do you simplify @@ (6x^2)(-3x^5) @@?

-18x^7

-9x^7

18x^7

-18x^5

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

5^6

5^7

5^8

5^5

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the power of a power rule in exponents?

When raising a power to another power, add the exponents: (a^m)^n = a^(m+n).

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

When raising a power to another power, subtract the exponents: (a^m)^n = a^(m-n).

When raising a power to another power, divide the exponents: (a^m)^n = a^(m/n).

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