Rules of exponents

Front

What is the product of powers rule in 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 in exponents?

Back

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

Front

What is the quotient of powers rule in exponents?

Back

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

Front

What is the zero exponent rule?

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 rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.

Front

Simplify: y^10 * y^5

Back

y^(10+5) = y^15.

Front

Simplify: (3x^2)(4x^3)

Back

3*4 * x^(2+3) = 12x^5.

Front

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

Back

2*5 * m^(4+2) = 10m^6.

Front

Evaluate: 9^8 / 9^3

Back

9^(8-3) = 9^5.

Front

Simplify: (-4r^5)(2r^8)

Back

-4*2 * r^(5+8) = -8r^13.