Negative and Zero Exponents
Simplify:
(-15)^0
1
Use the product rule for exponents to multiply:
5^3 * 5^5
5^8
Use the quotient rule for exponents to divide:
7^5 / 7^3
7^2
Use the power rule to simplify:
(14/x)^3
14^3/x^3
Use the exponent rules to simplify:
(x^3)^2 * x^1
x^7
Simplify:
-4x^0
-4
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
Use the quotient rule for exponents to divide:
(8k^3)/( 4k^2)
2k
Use the power rule to simplify:
(5v^3)^4
625v^12
Use the exponent rules to simplify:
(3x^2 * 2x^2) / (2x^2)
3x^2
Simplify:
(8/11)^-5
11^5/8^5
Use the product rule for exponents to multiply:
-12x^3z^7 * 4x^5z
-48x^8z^8
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
Use the power rule to simplify:
(3x^3y^4)^3
27x^9y^12
Use the exponent rules to simplify:
(12xy^3 * 3xy)^2
Use the exponent rules to simplify:
1296x^4y^8
Simplify:
5x^-5
5/x^5
Use the product rule for exponents to multiply:
3x^4 * 2x^3 * 3x^2
18x^9
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8xy^2)
(1xy^2)/(4)
Use the power rule to simplify:
(4x^2yz^3)^2
16x^4y^2z^6
Use the exponent rules to simplify:
(3^-5*3^4)^2
1/9
Simplify:
-2^-3
-1/2^3
Use the product rule for exponents to multiply:
12dq^3r^2 * 2d^3qr^3
24d^4q^4r^5
Use the quotient rule for exponents to divide:
(16x^10y^9)/(8x^4y^4z^5)
(2x^2y)/(z^5)
Use the power rule to simplify:
((3x^2)/y)^4
(81x^8)/y^4
The expression below can be written in the form of 1/n, where n is a whole number. Determine the value of n. Justify.
(2^3)^-2*2
n=32