Simplify using exponent rules, (3^2 ·4)(3^3 ·4^4)

248832

Remove parentheses 3² · 4 · 3³ · 4⁴

Apply exponent rule aᵇ · aⁿ = aᵃ⁺ⁿ

= 3³ · 3² = 3²⁺³ = 3⁵

= 3⁵ · 4⁴ · 4

= 3⁵ · 4⁵

= 243 · 1024

= 248832

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step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.