Integer Exponents

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

What is the result of simplifying 10^2?

Back

100

Front

How do you simplify a negative exponent, such as 2^{-5}?

Back

The result is 1 divided by the base raised to the positive exponent, so 2^{-5} = 1/2^5 = 1/32.

Front

What is the value of any number raised to the power of 0, such as 89^0?

Back

1

Front

What is the result of simplifying (-7)^2?

Back

49

Front

What is the general rule for multiplying powers with the same base?

Back

Add the exponents: a^m * a^n = a^(m+n).

Front

What is the general rule for dividing powers with the same base?

Back

Subtract the exponents: a^m / a^n = a^(m-n).

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent: a^{-n} = 1/a^n.

Front

What is the value of (1/5)^0?

Back

1.

Front

What is the simplified form of 2^3?

Back

8.