Laws of Exponents (easy)

Front

What is the law of exponents for multiplying powers with the same base?

Back

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

Front

What is the law of exponents for dividing powers with the same base?

Back

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

Front

What is the law of exponents for raising a power to a power?

Back

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

Front

What is the value of any non-zero number raised to the power of zero?

Back

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

Front

What is the value of a negative exponent?

Back

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

Front

Simplify: (10x^5y^6)^-2

Back

1 / 100 x^10y^12.

Front

Simplify: 12x^9 / -3x^5

Back

-4x^4.

Front

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

Back

6x^7.

Front

Simplify: (5x^2)(-2x^3y^2)^2

Back

20x^8y^4.

Front

Simplify: (-2x^5)(3x^4)

Back

-6x^9.