7-1 Day 1 Multiplication properties of Exponents

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

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

What is the power of a product property of exponents?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the zero exponent property?

Back

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

Front

What is the negative exponent property?

Back

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

Front

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

Back

10m^6.

Front

Simplify: (3x^3y^5)^4

Back

81x^12y^20.

Front

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

Back

x^20y^8.

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself.

Front

What does it mean to simplify an expression with exponents?

Back

To rewrite the expression in a simpler form, often by combining like terms or applying exponent rules.