Solve using fractional exponents
Convert to a fractional exponent:
sqrt{x^7)
x^{7/2}
Solve:
5^{3-2x}=5^{-x}
x = 3
Solve:
8^{x-1}=2^{x+2}
x = 5/2 or 2.5
What is the hardest natural substance on Earth?
Diamond
Solve:
\sqrt{v+3}-1=7
v = 61
Solve:
6^{3m} ⋅ 6^{−m} = 6 ^{−2m+1}
m=1/4 or .25
Solve:
(\frac{1}{4})^x=16
x=-2
Who wrote "Romeo and Juliet"?
William Shakespeare
Solve:
10+(\sqrt{10m-1})^3=226
Solve:
81\cdot9^{-2b-2}=27
b=-3/4 or -.75
Solve:
144^{2x+1}=12^{5x-1}
x = 3
Who was the 2nd president of the United States?
John Adams
Solve and check for extraneous solutions:
sqrt{90 − n} = n
n = 9
Solve
10^{−3x}⋅10^x = 1/10
x=1/2
Solve:
2^x⋅1/32 = 1/8
x = 2
What is the smallest country in the world?
Vatican City
Solve and check for extraneous solutions:
-3+sqrt{m+59}=m
m = 5
Solve:
( 1 /6)^{3x + 2} ⋅ 216^{3x} = 1/216
x = -1/6
Solve for P:
32^{2p-2}·8^p=(1/2)^{2p}
p = 2/3
What is the most famous equation formulated by Albert Einstein?
E=mc^2