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Published on: 31/08/2019
Exponents and Powers
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Questions + Answers key
Take MCQ Mathematics Test
1.
Simplify and express the result in power notation with positive exponent.
\((\frac{1}{2^{3}})^{2}\)
2.
Expand the following numbers using exponents.
1025.63
3.
Find the multiplicative inverse of the following:
5-3
4.
Express 3-5 X 3-4 as a power of 3 with positive exponent.
5.
Find the value of x, so that \((\frac{2}{9})^{3}\times (\frac{2}{9})^{-6}=(\frac{2}{9})^{2x-1}\)
6.
Express each of the following numbers in standard form.
0.000125
7.
Fill in the blanks.
8.
The usual form of 2.08 x 10-5 is
0.0000208
0.000028
0.000208
0.0002080
9.
For a non-zero integer x, x7÷x12 is equal to
x5
x3
x4
x-5
10.
5-2 can be written as
\(\frac{1}{5}\)
\(\frac{1}{5^{2}}\)
52
-\(\frac{2}{5}\)
11.
The standard form of \(\frac{1}{10000000000}\) is ____________
12.
1000 = ____________
13.
a13 x a-10 = _________
14.
\((\frac{7}{9})^{-2}\times (\frac{7}{9})^{-8}=(\frac{7}{9})^{16}\)
15.
\((-\frac{9}{2})^{0}=0\)
16.
The value of \(\frac{1}{7^{-3}}\) is equal to 216.
17.
(-8)-2 x(-8)-3 =(-8)-5
1.
We have, \((\frac{1}{2^{3}})^{2}\)
=\(\frac{(1)^{2}}{(2^{3})^{2}}\) \([\because (\frac{a}{b})^{m}=\frac{a^{m}}{b^{m}}]\)
=\(\frac{1}{2^{6}}\) [∵ (am) n= amxn]
which is the required form,
2.
We have, 1025.63 = 1x 1000 + 0 x 100 + 2 x 10 + 5 x 1+\(\frac{6}{10}+\frac{3}{100}\)
=1\(\times 10^{3}+2\times10^{1}+5\times 10^{0}+6\times 10^{-1}+3\times 10^{-2}\)
3.
Multiplicative inverse of 5-3 is 53.
4.
\(\frac{1}{3^{9}}\)
5.
x=-1
6.
1.25x 10-4
7.
We have, 144 x 2-3 = \(\frac{144}{2^{3}}=\frac{12\times 12}{2\times2\times 2 }=18\)
Now, 18X12-1=\(\frac{18}{12}=\frac{3}{2}\)
Again, \(\frac{3}{2}\times 3^{-2}=\frac{3}{2}\times \frac{1}{3^{2}}=\frac{1}{6}\)
So,
8.
(a)
0.0000208
9.
(d)
x-5
10.
(b)
\(\frac{1}{5^{2}}\)
11.
( )
10-10
12.
( )
1
13.
( )
a3
14.
(b)
15.
(b)
16.
(b)
17.
(a)
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