2 by 3 whole to the power minus 4 into 27 by 8 whole to the power minus 2.
Answers
Answer:
Step-by-step explanation:
Exponents are used to express large numbers in shorter form to
make them easy to read, understand, compare and operate upon.
• a × a × a × a = a4 (read as ‘a’ raised to the exponent 4 or the fourth
power of a), where ‘a’ is the base and 4 is the exponent and a4 is
called the exponential form. a × a × a × a is called the expanded
form.
• For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,
(i) am × an = am+n
(ii) am ÷ an = am–n , m>n
(iii) (am)
n = amn
(iv) am × bm = (ab)
m
(v) am ÷ bm =
m
a
b
(vi) a0 = 1
(vii) (–1)even number = 1
(viii) (–1)odd number = –1
• Any number can be expressed as a decimal number between 1.0
and 10.0 (including 1.0) multiplied by a power of 10. Such form of a
number is called its standard form or scientific notation.
15-04-2018
In Examples 1 to 3, there are four options, out of which one is correct.
Write the correct one.
Example 1: Out of the following, the number which is not equal to
– 8
27 is
(a) –
3
2
3
(b)
3
2
3
−
(c) –
3
2
3
−
(d)
222
333
−−− × ×
Solution: Correct answer is (c).
Example 2: ()() 5 3
− ×− 7 7 is equal to
(a) ( )8
−7 (b) – ( )8
7 (c) ( )15
−7 (d) ( )2
−7
Solution: Correct answer is (a).
Example 3: For any two non-zero integers x any y, x3 ÷ y3 is equal to
(a)
0
æ ö
ç ÷ è ø
x
y (b)
3
x
y
(c)
6
æ ö
ç ÷ è ø
x
y (d)
9
æ ö
ç ÷ è ø
x
y
Solution: Correct answer is (b).
In Examples 4 and 5, fill in the blanks to make the statements true.
Example 4: ( )
2 7 6 5 5÷ = ________
Solution: 52
Words Numbers Algebra
To multiply powers
with the same base,
keep the base and add
the exponents.
bm × bn = bm+n
35 × 38 = 35 + 8 = 313
15-04-2018
Example 5:
7 3
5
a b
a b = __________
Solution: (ab)
2
In Examples 6 to 8, state whether the statements are True or False:
Example 6: In the number 75, 5 is the base and 7 is the exponent.
Solution: False
Example 7:
4
3
a aaaa
b bbb
+++ = + +
Solution: False
Example 8: ab > ba is true, if a = 3 and b = 4; but false, if a = 2
and b = 3.
Solution: True
Example 9: By what number should we multiply 33 so that the
product may be equal to 37?
Solution: Let 33 be multiplied by x so that the product may be
equal to 37.
According to question,
33 × x = 37
or x = 37 ÷ 33
= (3)7–3 (Using am ÷ an = (a)
m–n )
= 34
= 81
Therefore, 33 should be multiplied by 81 so that the product is equal to 37.
Step-by-step explanation:
hope it helps.....
Be happy stay safe
