Exponents

Front

What is an exponent?

Back

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

Front

What does the expression a^m * a^n equal?

Back

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

Front

What does the expression (a^m)^n equal?

Back

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

Front

What does the expression a^m / a^n equal?

Back

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

Front

What is the value of 5^0?

Back

1 - Any non-zero number raised to the power of zero equals one.

Front

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

Back

9 - The square of a negative number is positive.

Front

What is the value of 2^3?

Back

8 - 2 multiplied by itself three times (2 * 2 * 2) equals 8.

Front

Simplify: (x^2)(x^3)

Back

x^5 - When multiplying, add the exponents.

Front

Simplify: (3a^2)(4a^3)

Back

12a^5 - Multiply the coefficients (3*4) and add the exponents (2+3).

Front

What is the value of 10^2?

Back

100 - 10 multiplied by itself (10 * 10) equals 100.