Unit 6 Corrections - Flashcard

Front

What is the simplified form of \( \sqrt{96} \)?

Back

\( 4\sqrt{6} \)

Front

Simplify the expression: \( x^6y^4 \)

Back

\( x^8y^4 \)

Front

What is the simplified form of \( x^5 \)?

Back

\( x^5 \)

Front

Simplify the expression using exponential notation: \( \frac{m^5n^6}{m} \)

Back

\( m^4n^6 \)

Front

What is the value of \( (7x^3)^0 \)?

Back

1

Front

What is the property of exponents that states \( a^0 = 1 \) for any non-zero number \( a \)?

Back

Zero Exponent Rule

Front

What is the product of powers property?

Back

When multiplying like bases, add the exponents: \( a^m \cdot a^n = a^{m+n} \)

Front

What is the quotient of powers property?

Back

When dividing like bases, subtract the exponents: \( \frac{a^m}{a^n} = a^{m-n} \) (where \( a \neq 0 \))

Front

What is the power of a power property?

Back

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

Front

What is the simplified form of \( \sqrt{a^2} \)?

Back

\( a \) (for non-negative \( a \))