Raising a Power to a Power

Front

What is the rule for raising a power to a power in exponents?

Back

When raising a power to a power, multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Calculate (d^-8)^-3.

Back

d^24

Front

Calculate (a^5)^-3.

Back

a^-15

Front

Calculate (z^10)^3.

Back

z^30

Front

Calculate (z^11)^3.

Back

z^33

Front

Calculate (c^7)^-1.

Back

c^-7

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^-n = 1/a^n.

Front

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

Back

x^8

Front

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

Back

y^6

Front

What is the value of (m^5)^0?

Back

m^0 = 1 (any non-zero number raised to the power of 0 is 1).