CPM CUA 5 Retake

Front

What is the rule for simplifying expressions with exponents when dividing?

Back

When dividing expressions with the same base, subtract the exponents: \( \frac{a^m}{a^n} = a^{m-n} \).

Front

How do you simplify the expression \( \frac{m^5n^6}{m} \)?

Back

Subtract the exponent of \( m \): \( m^{5-1}n^6 = m^4n^6 \).

Front

What is the result of simplifying the expression \( (2x-1)(x+5) \)?

Back

Use the distributive property (FOIL): \( 2x^2 + 10x - x - 5 = 2x^2 + 9x - 5 \).

Front

What is the simplified form of \( 7x - 14 - 2(4x + 8) \)?

Back

Distribute the -2: \( 7x - 14 - 8x - 16 = -x - 30 \).

Front

Which expression is NOT equal to 1?

Back

The expression \( (-1)^{-3} \) is equal to -1, not 1.

Front

What is the rule for simplifying expressions with exponents when raising a power to a power?

Back

When raising a power to a power, multiply the exponents: \( (a^m)^n = a^{m \cdot n} \).

Front

How do you simplify the expression \( \left(7^2m^9n^3\right)^7 \)?

Back

Apply the power of a power rule: \( 7^{2 \cdot 7}m^{9 \cdot 7}n^{3 \cdot 7} = 7^{14}m^{63}n^{21} \).

Front

What is the distributive property?

Back

The distributive property states that \( a(b + c) = ab + ac \).

Front

What is the FOIL method used for?

Back

The FOIL method is used to multiply two binomials: First, Outside, Inside, Last.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and applying mathematical rules.