Question

10x®y 12
Which expression is equivalent to 7-2.. 6? Assume X+0.y* 0.​

Answer 1

For this case we must find an expression equivalent to:

`\frac {10x ^ 6y ^ {12}} {- 5x ^ {- 2} y^ {- 6}}`

We have to:

`\frac {10} {- 5} = - 2`

Now, by definition of division of powers of equal base, we put the same base and subtract the exponents. Rewriting the expression we have:

`-2x ^ {6 - (- 2)} y^ {12 - (- 6)} =\\-2x ^ {6 + 2} y ^ {12 + 6} =\\-2x ^ 8y ^ {18}`

Answer:

Option B