Expressions with Exponents

Front

What is an expression with exponents?

Back

An expression that includes numbers and variables raised to a power, indicating how many times to multiply the number by itself.

Front

What does the exponent in an expression represent?

Back

The exponent indicates the number of times the base is multiplied by itself.

Front

What is the base in an expression with exponents?

Back

The base is the number or variable that is being raised to a power.

Front

What is the value of 2^3?

Back

8, because 2 multiplied by itself 3 times is 2 x 2 x 2 = 8.

Front

What is the value of 5^0?

Back

1, because any non-zero number raised to the power of 0 is 1.

Front

What is the product of powers property?

Back

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

Front

What is the power of a power property?

Back

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

Front

What is the quotient of powers property?

Back

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

Front

What is the value of 3^2 + 4^2?

Back

25, because 3^2 = 9 and 4^2 = 16, so 9 + 16 = 25.

Front

What is the value of (2^3)^2?

Back

64, because (2^3)^2 = 2^(3*2) = 2^6 = 64.