Question

Can someone please help me with this? 1-4 thank you so much.​

Answer 1

1.) Option C

2.) Option B

3.) Option D

4.) Option A

Explanation:

`\frac{3x {}^(2) }{y {}^( - 3) } \\`

Here, we know that

`a {}^( - 1) = (1)/(a) \\`

So,

`\frac{ {3x}^(2) }{y {}^( - 3) } = \frac{ {3x}^(2) }{ \frac{1}{y {}^( 3) } } = {3x}^(2) y { }^(3) \\`

Thus, Option C is correct

2.)

`( {4}^(0) )( {4}^(2) ) \\`

We know that,

n⁰ = 1

where, n = any real number

So,

`( {4}^(0) )(4 {}^(2) ) = 1 * 16 = 16 \\`

Thus, The answer is 16

3.)

`( (5)/(3) ) {}^( - 3) \\`

We know that

`a {}^( - 1) = (1)/(a) \\`

So,

`( { (5)/(3) )}^( - 3) = ( { (3)/(5) )}^(3) = (27)/(125) \\`

Thus, Option D is correct

4.)

`\frac{a {}^(2) {b}^(5)c {}^(0) }{ab {}^(7) } \\`

`\frac{a {}^(2) {b}^(5) c {}^(0) }{ab {}^(7) } = \frac{a}{ {b}^(2) } \\`

Thus, Option A is correct

-TheUnknownScientist 72