Exponents & Expressions Practice

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

To evaluate an expression means to calculate its value by substituting the variables with given numbers and performing the operations.

The expanded form of an expression shows the sum of its parts. For example, $$10^3$$ in expanded form is $$10 \times 10 \times 10$$ .

To convert repeated multiplication into exponential form, count the number of times the base is multiplied. For example, $$4 \times 4 \times 4 \times 4 \times 4 \times 4$$ is written as $$4^6$$ .

The value of $$2^5$$ is 32.

To evaluate an expression with a variable, substitute the variable with its value and perform the operations. For example, for $$2(a - 5) + 2$$ when $$a = 10$$ , substitute and calculate.

The base is the number being multiplied, while the exponent indicates how many times the base is multiplied by itself.

$$10^3$$ equals 1,000.

Substituting $$a = 10$$ gives $$2(10 - 5) + 2 = 2(5) + 2 = 10 + 2 = 12$$ .

The value of $$4^6$$ is 4,096.