Uhh.. maybe.

Question

Uhh.. maybe.

EndersWorld · Answer

$$(-3a^0)(-2a ^{-2}b^3)$$

Hero · Answer

By the way, as a general rule, anything to to the zero power equals 1. So as a hint:
$a^{0} = \dfrac{z}{z}$

EndersWorld · Answer

So would I add it again or cancel out?

Hero · Answer

There's nothing to "add". $a^{0}$ simply becomes 1 or you can just remove it from the expression.

EndersWorld · Answer

Alright.

EndersWorld · Answer

This looks sooooo wrong.

$$(6-3a^63b ^{-9}$$

Hero · Answer

Well basically, what you do once again is pair together like terms:
$(-3)\cdot(-2)(a^{-2})(b^3)$

EndersWorld · Answer

Would I distribute the -3 to the rest?

Hero · Answer

Distribution implies that two terms are being added or subtracted which is not the case here.

Hero · Answer

Remember the distributive property is a(b PLUS c) = ab PLUS ac. In the problem you're given, there is no addition or subtraction element

Hero · Answer

The minus signs strictly apply to the negative numbers and not subtraction

Hero · Answer

For example if you had (-3)(-3a - bc) now you have to distribute because the minus sign separates two terms -3a and bc.

but with (-5)(-3abc) there is no addition or subtraction sign separating two terms within parentheses.

EndersWorld · Answer

I gotcha

Hero · Answer

Awesome.

EndersWorld · Answer

Do I need to turn it into a fraction now?

Hero · Answer

Yes correct. If you see a negative exponent, automatically convert the expression to fraction form.

EndersWorld · Answer

$$\frac{ b^3 }{ 6a^2 }$$

Hero · Answer

Why did you put the 6 in the denominator?

EndersWorld · Answer

Because I’m a idiot..

Hero · Answer

Not true.

EndersWorld · Answer

The 3 and 2 were both negative so I thought they wen to the demoninator so I multiplied them.

Hero · Answer

They were negative, but not negative exponents.

EndersWorld · Answer

So do they stay where they are?

Hero · Answer

Yes, they remain in the numerator. Only the variable with the negative exponent gets converted to the denominator. If the coefficients are in the numerator they stay in the numerator unless their exponents are negative. If the coefficients in the denominator, they stay in the denominator unless their exponents are negative. In this case (-3) and (-2) have positive exponents.