Maths-
General
Easy

Question

Simplify using the laws of exponents: Find x so that 7 to the power of left parenthesis 2 x plus 1 right parenthesis end exponent divided by 49 equals 7 cubed

hintHint:

In Mathematics, lets say, "a" represents a number and " n " is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent. a to the power of n equals a cross times a cross times horizontal ellipsis cross times a n times.
2        Law of exponents that is to be applied in this sum is-
a to the power of n divided by a to the power of m equals a to the power of n minus m end exponent

The correct answer is: 2


    Step-by-step solution:-
    7 to the power of left parenthesis 2 x plus 1 right parenthesis end exponent divided by 49 equals 7 cubed
    therefore 7 to the power of left parenthesis 2 x plus 1 right parenthesis end exponent divided by 7 squared equals 7 cubed
    therefore 2x-1=3………………………………( Powers of the same bases are equal)
    therefore2x=3+1
    therefore x equals 4 divided by 2
    therefore x with _ below equals 2

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