Quotient rule with negative exponents.

Question

Simplify.
p^9/p^-4

Answer 1

To simplify the expression, we can apply the quotient rule for negative exponents. According to the quotient rule, when dividing two terms with the same base, we subtract the exponents.

Therefore,

p^9 / p^(-4) = p^(9-(-4)) = p^(9+4) = p^13

Answer 2

Quotient rule with negative exponents.
Simplify.
y-5/y

Answer 3

To simplify this expression using the quotient rule with negative exponents, we can rewrite it as the product of two terms with negative exponents:

y^(-5)/y^1 [y^1 is equivalent to just y]

Now, using the quotient rule with negative exponents, we subtract the exponents:

y^(-5-1) = y^(-6)

So, the simplified expression is y^(-6).

Answer 4

Quotient rule with negative exponents.
Simplify.
p^-4/p^-3

Answer 5

To simplify the expression using the quotient rule with negative exponents, we can rewrite it as the product of two terms with negative exponents:

p^(-4) / p^(-3)

Using the quotient rule, we subtract the exponents:

p^(-4-(-3)) = p^(-4+3) = p^(-1)

Therefore, the simplified form of p^(-4) / p^(-3) is p^(-1), or 1/p.

Answer 6

Quotient rule with negative exponents.
Simplify.
b^-7/b^-3

Answer 7

To simplify this expression using the quotient rule with negative exponents, we can rewrite it as the product of two terms with negative exponents:

b^(-7) / b^(-3)

Using the quotient rule, we subtract the exponents:

b^(-7-(-3)) = b^(-7+3) = b^(-4)

Therefore, the simplified form of b^(-7) / b^(-3) is b^(-4).