Find the value of x: 80 raised to 20 + 80 raised to 20 = 2 raised to x
Answers
Answer:
80+20=x+2
Step-by-step explanation:
x=-102 I hope it will help
Answer:
tu to gaya pagal
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
LHS = RHS
Hence, the equation is satisfied with x = 3. So, our answer
is correct.
1. Try to find the value of x given in the question by changing
1
5 to
3
2 .
What difference do you find in the value of x ? What do you infer from
your answer?
2. Can you find the value of x if the equation is changed to
(5)x ÷ (5)2 = (5)3 ?
15-04-2018
4. For any two non-zero rational numbers x and y, 5 5 x y ÷ is equal to
(a) (x÷y)
1 (b) (x÷y)0 (c) (x÷y)5 (d) (x÷y)10
5. am × an is equal to
(a) (a2)
mn (b) am–n (c) am+n (d) amn
6. (10 + 20 + 30) is equal to
(a) 0 (b) 1 (c) 3 (d) 6
7. Value of
22 20
20
10 10
10
+
is
(a) 10 (b) 1042 (c) 101 (d) 1022
8. The standard form of the number 12345 is
(a) 1234.5 × 101 (b) 123.45 × 102
(c) 12.345 × 103 (d) 1.2345 × 104
9. If 21998 – 21997 – 21996 + 21995 = K.21995, then the value of K is
(a) 1 (b) 2 (c) 3 (d) 4
10. Which of the follwing is equal to 1?
(a) 20 + 30 + 40 (b) 20 × 30 × 40
(c) (30 – 20) × 40 (d) (30 – 20) × (30 +20)
11. In standard form, the number 72105.4 is written as 7.21054 × 10n
where n is equal to
(a) 2 (b) 3 (c) 4 (d) 5
12. Square of
2
3
−
is
(a)
2
3
− (b) 2
3 (c)
4
9
− (d)
4
9
Words Numbers Algebra
To divide powers with
the same base, keep
the base and subtract
the exponents.
– m m n
n
b b
b = 9
9–4 5
4
6 6 6
6 = =
15-04-2018
13. Cube of
1
4
−
is
(a)
–1
12 (b) 1
16 (c)
1
64
− (d)
1
64
14. Which of the following is not equal to
4 – 5
4
?
(a)
4 (– 5)
44
(b)
45
4 (– 4 )
(c)
45 – 4 4
(d)
55 5 5
4 4 4 4
− ×− × − ×−
15. Which of the following is not equal to 1 ?
(a)
3 2 2 3
4 18
×
× (b) ()() ( ) 3 4 7 − ×− 2 2 ÷ −2
(c)
0 3 3 ×5
5×25 (d)
4
0 03
2
(7 +3 )
16.
3 3 2 5
×
3 7
is equal to
(a)
9 2 5
×
3 7
(b)
6 2 5
×
3 7
(c)
3 2 5
×
3 7
(d)
0
2 5
×
3 7
17. In standard form, the number 829030000 is written as K × 108 where
K is equal to
(a) 82903 (b) 829.03 (c) 82.903 (d) 8.2903
Product of Powers Property
Words To multiply powers with the same base, add their
exponents.
Algebra am . an = am + n Numbers 56 . 53 = 56 + 3 = 59• 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÷ = ________