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-4w^5d(-5)w^4d choose an action to perform. ways to rewrite expressions…

Question

-4w^5d(-5)w^4d
choose an action to perform.
ways to rewrite expressions
apply exponent\tcombine like terms
convert negative exponent\tdistribute
perform multiplication\trewrite division as multiplication
rewrite fractions\trewrite signs
apply property of exponents >\t

Explanation:

Step1: Multiply constant terms

$(-4) \times (-5) = 20$

Step2: Combine $w$ terms via exponents

$w^5 \times w^4 = w^{5+4} = w^9$

Step3: Combine $d$ terms via exponents

$d \times d = d^{1+1} = d^2$

Step4: Multiply all simplified parts

$20 \times w^9 \times d^2$

Answer:

$20w^9d^2$

Selected Rewrite Actions:

Perform Multiplication, Apply Property of Exponents