Multiply and Add Exponents: We need to multiply the coefficients (4 and -3) and add the exponents of z (3 and 3) because of the properties of exponents when multiplying like bases. Calculation: (4 * -3) * (z^(3+3)) Math error check: Calculate Coefficients and Exponents: Multiplying the coefficients gives us -12. Adding the exponents gives us 6. Calculation: -12 * z^6 Math error check: Final Simplified Expression: The final simplified expression is -12z^6. Math error check:

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$(4z^3)(-3z^3)=\Box$

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Math Problems

Algebra 2

Simplify variable expressions using properties

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(4z^3)(-3z^3)=\Box

Multiply and Add Exponents: We need to multiply the coefficients $4$ and $-3$ and add the exponents of $z$ $3$ and $3$ because of the properties of exponents when multiplying like bases. $\newline$ Calculation: $(4 \times -3) \times (z^{(3+3)})$ $\newline$ Math error check:
Calculate Coefficients and Exponents: Multiplying the coefficients gives us $-12$ . Adding the exponents gives us $6$ . $\newline$ Calculation: $-12 \times z^6$ $\newline$ Math error check:
Final Simplified Expression: The final simplified expression is $-12z^6$ . $\newline$ Math error check: