At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Simplify the following:

i) [tex][tex]$(-3) \times(-2)^3$[/tex][/tex]

Sagot :

Sure, let's simplify the expression [tex]\((-3) \times (-2)^3\)[/tex] step-by-step.

1. Deal with the exponent first:
Calculate [tex]\((-2)^3\)[/tex]. When raising [tex]\(-2\)[/tex] to the power of 3, we multiply [tex]\(-2\)[/tex] by itself three times:

[tex]\[ (-2)^3 = (-2) \times (-2) \times (-2) \][/tex]
Multiply the first two [tex]\((-2)\)[/tex]'s:

[tex]\[ (-2) \times (-2) = 4 \][/tex]
Now, multiply the result by [tex]\(-2\)[/tex] again:

[tex]\[ 4 \times (-2) = -8 \][/tex]
So, [tex]\((-2)^3 = -8\)[/tex].

2. Multiply the result by the coefficient:
Now we need to multiply [tex]\(-3\)[/tex] by [tex]\(-8\)[/tex]:

[tex]\[ (-3) \times (-8) \][/tex]
The product of two negative numbers is a positive number, so:

[tex]\[ (-3) \times (-8) = 24 \][/tex]

So, the simplified result of [tex]\( (-3) \times (-2)^3 \)[/tex] is [tex]\( 24 \)[/tex].