An exponent is a number that indicates how many times to multiply the base by itself. For example, in $$2^3$$ , 2 is the base and 3 is the exponent, meaning $$2 \times 2 \times 2$$ .

What does $$b^2$$ represent when b = 3?

When b = 3, $$b^2$$ represents $$3^2$$ , which equals 9.

How do you evaluate $$4 + b^2$$ when b = 3?

First, evaluate $$b^2$$ : $$3^2 = 9$$ . Then, substitute: $$4 + 9 = 13$$ .

What is the value of $$4^5 - 24$$ ?

First, calculate $$4^5 = 1024$$ . Then, subtract: $$1024 - 24 = 1000$$ .

Is $$2^5$$ the same as $$2 \times 5$$ ?

False. $$2^5$$ means $$2 \times 2 \times 2 \times 2 \times 2$$ , which equals 32.

What is the value of $$5^0$$ ?

Any non-zero number raised to the power of 0 is 1. Therefore, $$5^0 = 1$$ .

What is the rule for dividing exponential expressions?

When dividing exponential expressions with the same base, you subtract the exponents. For example, $$a^m \div a^n = a^{m-n}$$ .

What does $$2^3 \times 2^2$$ equal?

Using the multiplication rule, $$2^3 \times 2^2 = 2^{3+2} = 2^5 = 32$$ .

What is the base in the expression $$x^4$$ ?

The base in the expression $$x^4$$ is x.

What does $$a^{-n}$$ represent?

$$a^{-n}$$ represents the reciprocal of $$a^n$$ , or $$\frac{1}{a^n}$$ .

What is the result of $$(2^3)^2$$ ?

Using the power of a power rule, $$(2^3)^2 = 2^{3 \times 2} = 2^6 = 64$$ .

25-26 Exponents Flashcards

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What is an exponent?

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What is the rule for multiplying exponential expressions?

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