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Express the following number as a powers of prime factors:
(i) 144
(ii) 225
Find the value of k in each of the following:
Find the value of
(a) 30 ÷ 40
(b) (80 – 20) ÷ (80 + 20)
(c) (20 + 30 + 40) – (40 – 30 – 20)
Evaluate:
Express 343 as a power of 7.
Express the following in exponential form:
(i) 5 × 5 × 5 × 5 × 5
(ii) 4 × 4 × 4 × 5 × 5 × 5
(iii) (-1) × (-1) × (-1) × (-1) × (-1)
(iv) a × a × a × b × c × c × c × d × d
Give three examples of shapes with no line of symmetry.
Simplify:
If
Simplify and write in exponential form:
Express the following in standard form:
(i) 8,19,00,000
(ii) 5,94,00,00,00,000
(iii) 6892.25
Express each of the following as a product of prime factors is the exponential form:
(i) 729 × 125
(ii) 384 × 147
Which is greater 32 or 23?
Express each of the following as product of powers of their prime factors:
(i) 405
(ii) 504
(iii) 500
Find the value of:
(i) (-1)1000
(ii) (1)250
(iii) (-1)121
(iv) (10000)0
Simplify the following and write in exponential form:
(i) (52)3
(ii) (23)3
(iii) (ab)c
(iv) [(5)2]2
Verify the following:
Simplify the following:
(i) 103 × 90 + 33 × 2 + 70
(ii) 63 × 70 + (-3)4 – 90
Write the following in expanded form:
(i) 70,824
(ii) 1,69,835
Find the number from each of the expanded form:
(i) 7 × 108 + 3 × 105 + 7 × 102 + 6 × 101 + 9
(ii) 4 × 107 + 6 × 103 + 5