Exponents

Front

What is an exponent?

Back

An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself.

Front

What does the expression 6^3 represent?

Back

The expression 6^3 represents 6 multiplied by itself three times, which equals 216.

Front

How do you simplify the expression 3^2 + 5^2?

Back

To simplify 3^2 + 5^2, calculate 3^2 = 9 and 5^2 = 25, then add them together: 9 + 25 = 34.

Front

What is the exponent form of 15 x 15?

Back

The exponent form of 15 x 15 is 15^2.

Front

How can you express 5 x 5 using exponents?

Back

5 x 5 can be expressed as 5^2.

Front

What does 4 x 4 x 4 equal in exponent form?

Back

4 x 4 x 4 can be expressed as 4^3.

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two powers 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

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

Front

What is the zero exponent rule?

Back

The zero exponent rule states that any non-zero number raised to the power of zero equals one: a^0 = 1.

Front

What is the negative exponent rule?

Back

The negative exponent rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).