Quotient rule with negative exponents.

Simplify.
p^9/p^-4

7 answers

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
Quotient rule with negative exponents.
Simplify.
y-5/y
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).
Quotient rule with negative exponents.
Simplify.
p^-4/p^-3
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.
Quotient rule with negative exponents.
Simplify.
b^-7/b^-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:

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).