Properties of Exponents Pt 1

Front

What is the product of powers property of exponents?

Back

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

Front

Simplify the expression: (5x^3)(2x^2)

Back

10x^5

Front

What is the power of a power property of exponents?

Back

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

Front

Simplify the expression: (r^4)^6

Back

r^24

Front

What is the quotient of powers property of exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify the expression: 9^7 / 9^2

Back

9^5

Front

What is the zero exponent property?

Back

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

Front

What is the negative exponent property?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Simplify the expression: c^4 * c^3

Back

c^7

Front

Is the number √2 rational or irrational?

Back

Irrational