EASY
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Find the value of (-3)4.

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Important Questions on Exponents and Powers

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If 4x.8y=128 and 3x27y=13, then find the values of x and y.
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If a, m and n are rational numbers, then am×an=ap. Then the value of p=_____.

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What is the number of digits in 725, 823 and 920 respectively? [Given log102 = 0.301, log103 = 0.477, log107 = 0.845]
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Find the value of 'a' from the following 9-5×3-7=3-a
HARD
Consider the sequence 1, 7, 8, 49, 50, 56, 57, 343, ......... which consists of sums of distinct powers of 7 that is 70, 71, 70+71, 72, ....... in increasing order. At what position will 16856 occurs in this sequence?
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What is the number of digit in 240? (Given that log102=0.301)
HARD
In base -2 notation, digits are 0 and 1 only and the places go up in powers of -2. For example, 11011 stands for -24+-23+-21+-20 and equals number 7 in base 10. If the decimal number 2019 is expressed in base -2, how many non-zero digits does it contain?
MEDIUM
What is the remainder when we divide 570+770 by 74
EASY
To what power -3 should be raised to get -2187?
HARD
If x2a=y2b=z2c0 and x2=yz, then value of ab+bc+cabc is:
MEDIUM

When we add two numbers having the same base, we add the powers to get their sum.

MEDIUM

There are three places A,B,C as shown below. If distance between place A and Bis 2.4×106 m and distance between place Band C is (5.2×105) m, then find the distance between place A and C in standard form.
 

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Pluto is 5913000000 km away from the Sun. Express this distance in standard from.
MEDIUM
A certain bacterium doubles itself every minute. If in a culture (a collection of bacteria), initially there are 3 × 105 bacteria, how many bacteria will be present after 5 minutes? Give your answer in standard form.
EASY
At the end of the 20th century, the world’s population was approximately 6.125×109. Express this population in usual form.