Properties of Exponents

Front

What is the property of exponents that states any non-zero number raised to the power of zero equals one?

Back

For any non-zero number a, a^0 = 1.

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent, take the reciprocal of the base. For example, a^-n = 1/a^n.

Front

What is the value of 5^-2?

Back

1/5^2 = 1/25.

Front

What is the product of two powers with the same base?

Back

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

Front

What is the quotient of two powers with the same base?

Back

When dividing powers with the same base, subtract 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, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the value of 10^0?

Back

10^0 = 1.

Front

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

Back

x^3 * x^2 = x^(3+2) = x^5.

Front

What is the value of (2^4)/(2^2)?

Back

2^4 / 2^2 = 2^(4-2) = 2^2 = 4.

Front

What is the value of (3^-1)?

Back

3^-1 = 1/3.