M1L1: Powers and Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in the expression 5^3, 5 is the base and 3 is the exponent, meaning 5 is multiplied by itself 3 times (5 * 5 * 5).

Front

Write the expression using exponents: 2 * 2 * 2 * 2 * 2.

Back

2^5

Front

What is the base in the expression 4^3?

Back

The base is 4.

Front

What does the expression 10^0 equal?

Back

Any non-zero number raised to the power of 0 equals 1, so 10^0 = 1.

Front

Write the expression using exponents: 3 * 3 * 3.

Back

3^3

Front

What is the product of powers rule?

Back

The product of powers rule states that when multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

Write the expression using exponents: x * x * x * x.

Back

x^4

Front

What is the power of a power rule?

Back

The power of a power rule states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Write the expression using exponents: 5 * 5 * 5 * 5 * 5 * 5.

Back

5^6

Front

What is the quotient of powers rule?

Back

The quotient of powers rule states that when dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).