8th Grade LEAP Review 1

Front

What is the product of powers property in exponents?

Back

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

Front

Simplify: (8^5)^3

Back

8^{15}

Front

What is the quotient of powers property in exponents?

Back

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

Front

Simplify: 3^4 ⋅ 3^7

Back

3^{11}

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

Simplify: 5^7 / 5^2

Back

5^{5}

Front

What is the zero exponent rule?

Back

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

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: 2^3 * 2^2

Back

2^{5}

Front

What is the power of a power property in exponents?

Back

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