Question

Help please I don't know how to do this assignment

Answer 1

A: The mistake is multiplying different exponents of bases 3 and 2.

B: Correctly simplify
`$3^4 \cdot 2^3$` using the distributive property to get
`$6^7$`.

C: The accurate result is
`$6^7$`.

A: The mistake lies in multiplying the bases of 3 and 2 directly. In the expression
`$3^4 \cdot 2^3$`, the bases, 3 and 2, possess distinct exponents, making direct multiplication incorrect.

B: To simplify
`$3^4 \cdot 2^3$` correctly, apply the distributive property of exponents. Rewrite it as
`$(3 \cdot 2)^4 \cdot 2^3$`. Consolidate the terms within the parentheses to get
`$6^4 \cdot 2^3$`. Further simplify by using the distributive property again, resulting in
`$6^(4 + 3) = 6^7$`.

C: The accurate solution for
`$3^4 \cdot 2^3$` is
`$6^7$`.

This clarification emphasizes the error in direct multiplication of bases, guides through the correct application of the distributive property, and concludes with the accurate simplified expression,
`$6^7$`.