Exponents

Front

What is an exponent?

Back

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

Front

What does 5^3 equal?

Back

5^3 = 5 × 5 × 5 = 125.

Front

What is the value of 1 raised to any power?

Back

1 raised to any power is always 1.

Front

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

Back

Any non-zero number raised to the power of 0 is 1.

Front

What is (-3)^2?

Back

(-3)^2 = (-3) × (-3) = 9.

Front

What is the difference between (a^b)^c and a^(b*c)?

Back

(a^b)^c = a^(b*c) due to the power of a power property.

Front

What is the value of (-4)^6?

Back

(-4)^6 = 4096, which is positive because an even exponent makes the result positive.

Front

What is 8^3 simplified?

Back

8^3 = 512.

Front

How do you compare two exponential expressions like 5^3 and 3^5?

Back

Calculate each expression: 5^3 = 125 and 3^5 = 243. Since 243 > 125, 3^5 is larger.

Front

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

Back

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