Solving
State what Law(s) of Exponents apply, and solve.
33 34
Multiplication Law
2187
State what Law(s) of Exponents apply, and solve.
73 74
Multiplication Law
823,543
State what Law(s) of Exponents apply, and solve.
80x22 / 5x18
Division Law
16x4
State the formula for the Multiplication Law and explain what it means.
xm xn = ?
xm xn = xm+n
when we are multiplying by the same base, we can add the exponents
Write (2ab)3 in expanded form and solve.
2ab * 2ab * 2ab
8a3b3
State what Law(s) of Exponents apply, and solve.
1961/2
Law of Fractional Exponents
14
State what Law(s) of Exponents apply, and solve.
(a24)1/3
Law of Fractional Exponents
x8
State what Law(s) of Exponents apply, and solve.
(4a3b12)5
Power of a Power Law
1024a15b60
State the formula for the Division Law and explain what it means.
x^m / x^n =
x^m / x^n = x^m-n
when we are dividing by the same base, we can subtract the exponents
15xxxxxxxxxxxx / 3xxxxxxxxxxxxxxxx
5 / x4
State what Law(s) of Exponents apply, and solve.
(5/11)3 divided by (4/9)-2
Power of a Fraction Law
Law of Negative Exponents
2,000 / 107,811
State what Law(s) of Exponents apply, and solve.
(3/4 / 6/7)-5
Law of Negative Exponents
Power of a Fraction Law
32,768 / 16,807
State what Law(s) of Exponents apply, and solve.
(3a)7 divided by (-8)-2
Power of a Product Law, Law of Negative Exponents, Power of a Fraction Law
139,968a7
State the formula for the Power of a Power Law and explain what it means.
(xm)n =??
(xm)n = xmn
if our base is being raised to a power, and that quantity is being raised to some other power, we can multiply the exponents
What is my astrological sign?
Gemini
State what Law(s) of Exponents apply, and solve.
[(x2)8]1/2
Power of a Power Law
Law of Fractional Exponents
x8
State what Law(s) of Exponents apply, and solve.
154 / 152 divided by (3/8)-5
Division Law, Law of Negative Exponents, Power of a Fraction Law
54,675 / 32,768
State what Law(s) of Exponents apply, and solve.
(5/6)-4 times (3xy2)3
Law of Negative Exponents, Power of a Fraction Law, Power of a Product Law, Power of a Power Law
34,992x3y6 / 625
State the formula for the Law of Negative Exponents and Power of a Fraction Law, and explain what they mean.
x-n = ?
(x / y)n = ?
x-n = 1 / xn
(x / y)n = xn / yn
Write (5x22y198)4 in expanded form and solve.
5x22y198 * 5x22y198 * 5x22y198 * 5x22y198
625x88y792
State what Law(s) of Exponents apply, and solve.
(6d2e9)5 divided by (14/15)-2 times (abcde)4
Power of a Power Law, Law of Negative Exponents, Power of a Fraction Law, Power of a Product Law
1,524,096a4b4c4d14e49 / 225
State what Law(s) of Exponents apply, and solve.
(-35y6 / 7y11)-8 times (3xy)-3
Division Law, Law of Negative Exponents, Power of a Power Law, Power of a Product Law
y37 / 10,546,875x3
State what Law(s) of Exponents apply, and solve.
[(3xy)2 / (4y2)-1 ]-3
Law of Negative Exponents, Power of a Fraction Law, Power of a Power Law, Power of a Product Law
1 / 46,656x6 y12
State the formula for the Law of Fractional Exponents and the Power of a Product Law and explain what they mean.
xm/n = ?
(xy)n = ?
xm/n = the nth root of xm
(xy)n = xn yn
Write (4/5 / 8/9)-6 in expanded form and solve.
1 divided by 4/5 / 8/9 divided by 4/5 / 8/9 divided by 4/5 / 8/9 divided by 4/5 / 8/9 divided by 4/5 / 8/9 divided by 4/5 / 8/9
1,000,000 / 531,441