Simplifying Exponents

Front

What is the power of a product rule in exponents?

Back

When multiplying two bases with the same exponent, you can 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, you multiply the exponents: (a^m)^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 (8y^3)^6

Back

8^6y^18.

Front

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

Back

-8r^13.

Front

What is the value of (5^3x^2y^4)^0?

Back

1.

Front

Simplify (2^2y^3)^5

Back

1024y^15.

Front

Simplify (x^14)^3

Back

x^42.

Front

What is the product of powers rule in exponents?

Back

When multiplying two bases with the same exponent, you can keep the base and add the exponents: a^m * a^n = a^(m+n).