Negative Exponents
Write as a postive exponent, x-5
1/x5
Simplify:
5^3 * 5^5
5^8
Use the quotient rule for exponents to divide:
7^4 / 7^3
7
Use the power rule to simplify (leave as exponent):
(14^2)^3
14^6
Use the exponent rules to simplify:
(x^3)^2 * x^1
x^7
Rewrite x1/2 as a radical
√x
Evaluate as a positive exponent.
3-3
1/27
Use the product rule for exponents to multiply:
x^3*x^2
x^5
Use the quotient rule to divide:
(k^3)/( k^2)
k
Use the power rule to simplify:
(v^3)^4
v^12
Use the exponent rules to simplify:
(x^2 * x^2) / (x^2)
x^2
Rewrite 8√x as a rational exponent
x1/8
Simplify so that there are no negative exponents.
2xy-4
2x/y4
Use the product rule for exponents to multiply:
-12k^7 * 4k
-48k^8
Use the quotient rule to divide:
(x^2y^5)/(xy^3)
xy^2
Use the power rule to simplify:
(2^3y^4)^3
512y^12
Use the exponent rules to simplify:
(2xy^3 * 3xy)^2
Use the exponent rules to simplify:
36x^4y^8
Rewrite 163/4 as a radical expression
(4√16)3 or 4√(163)
Simplify so that there are no negative exponents.
x-8 * x5
1/x3
Use the product rule for exponents to multiply:
x^4 * x^6 * x^-3
x^7
Use the quotient rule to simplify:
(x^2y^4)/(xy^2)
(xy^2)
Use the power rule to simplify:
(x^2y^3)^2
x^4y^6
Use the exponent rules to simplify:
(x^3y^4)^3*(xy^2)^2
x^11y^16
Rewrite 4√x3 as a rational exponent
x3/4
(xy^-2)/(2*z^3)
x/(2*y^2z^3)
Use the product rule for exponents to multiply:
17dq^3r^2 * 2d^3qr^3
34d^4q^4r^5
Use the quotient rule for exponents to divide:
(x^10y^9)/(x^4y^4 * x^4y^3)
(x^2 y^2)
Use the power rule to simplify:
(yx^2)^4
y^4x^8
Use the exponent rules to simplify:
(4b^2c^3 * 3bc^5) / (6b^3c^10)
2/c^2
Rewrite 6√x5 as a rational exponent AND
Rewrite 1254/5 as a radical expression
x5/6
(4√125)5 or 4√(1255)