Products of Exponents
Simplify
-4a^5(6a^5)
-24a^10
(8^15)/(8^13)
8^2
(4^2)^3
4^6
Write each expression using a positive exponent.
7^-10
1/7^10
Evaluate the expression.
(1/3)^4
1/81
(-6)^2 * (-6)^5
(-6)^7
(16t^4)/(8t)
2t^3
(d^7)^6
d^42
Write each fraction as an expression using a negative exponent other than -1.
1/64
2^-6 or 4^-3 or 8^-2
Write the following expression using exponents.
(-5)(-5)(-5)(-5)
(-5)^4
2g^2 * 7g^6
14g^8
(x^6y^14)/(x^4y^9)
x^2y^5
[(3^2)^2]^2
3^8
Simplify.
x^-8 * x^6
x^-2
Evaluate.
g^5 - h^3 if g = 2 and h = 7
-311
(-p)(-9p^2)
9p^3
(3^4x^4)/(3x^2)
3^3x^2 or 27x^2
(5j^6)^4
625j^24
Write the number in standard form.
3.16 xx 10^3
3,160
Write using exponents.
3 * p * p * p * 3 * 3
3^3 * p^3
(-7a^4bc^3)(5ab^4c^2)
-35a^5b^5c^5
((-2)^5 * (-3)^4 * (-5)^3)/((-3) * (-5)^2 * (-2)^3)
(-2)^2 * (-3) * (-5)^2
(2m^5n^11)^6
64m^30n^66
Write the number in scientific notation.
0.0000901
9.01 xx 10^-5
(c^3 + d^4)^2 - (c+d)^3 if c = -1, and d = 2.
Evaluate.
224