Product of powers & powers of powers

Front

What is the product of powers rule?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the power of a power rule?

Back

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

Tags

CCSS.8.EE.A.1

Front

Calculate (5^2)^3.

Back

5^6.

Tags

CCSS.8.EE.A.1

Front

Calculate 10^5 * 10^7.

Back

10^12.

Tags

CCSS.8.EE.A.1

Front

Calculate (x^3)(x^5)(x^10).

Back

x^18.

Tags

CCSS.HSA.APR.A.1

Front

Calculate t^9 * t^8.

Back

t^17.

Tags

CCSS.HSA.APR.A.1

Front

Calculate (r^4)^6.

Back

r^24.

Tags

CCSS.8.EE.A.1

Front

If a^3 * a^2 = a^x, what is x?

Back

x = 5.

Tags

CCSS.8.EE.A.1

Front

If (b^2)^4 = b^y, what is y?

Back

y = 8.

Front

What happens when you multiply powers with different bases?

Back

You cannot combine them using the product of powers rule.

Tags

CCSS.8.EE.A.1