Exponent Review

Front

What is the value of x in the equation: 2^x = 4⋅8⋅16?

Back

x = 9

Front

Solve for x: 5^x⋅5^4 = 5^8. What is x?

Back

x = 4

Front

What is 7^2 equal to?

Back

7⋅7

Front

Solve for x: 5^x⋅5^4 = 5^5. What is x?

Back

x = 1

Front

What is the product of (6⋅6)(6⋅6)?

Back

36⋅36

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself.

Front

What is the product rule of exponents?

Back

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

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).

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one: a^0 = 1.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n).