Simplifying Exponential Expressions

Front

What is the BASE in the exponential below? 4^3

Back

4

Front

Back

Front

Simplify the expression: x^3 x^6

Back

x^9

Front

Simplify: (2^4)(2^5)

Back

2^9

Front

Simplify the expression: a^10 b^6 * a^2 b^11

Back

a^12 b^17

Front

What is an exponent?

Back

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

Front

What is the product of powers property?

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 property?

Back

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

Front

What is the power of a product property?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the zero exponent rule?

Back

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