Solve for X : (13)√X = 44 - 34 - 6

Solve for x : (13)^√x = 4⁴ - 3⁴ - 6

बेरीज

(13)^√x = 4⁴ - 3⁴ - 6
⇒ (13)^√x= 256 - 81 - 6
⇒ (13)^√x= 169
⇒ (13)^√x= 13²
⇒ √x = 2
⇒ x = 4

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Simplification of Expressions

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पाठ 7: Indices [Exponents] - Exercise 7 (C) [पृष्ठ १०१]

पाठ 7 Indices [Exponents]
Exercise 7 (C) | Q 8 | पृष्ठ १०१

If (a^m)ⁿ = a^m .aⁿ, find the value of : m(n - 1) - (n - 1)

Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`

Simplify : a² − 2a + {5a² − (3a - 4a²)}

Simplify: a⁵ ÷ a³+ 3a × 2a

Simplify: (x⁵ ÷ x²) × y²× y³

Write each of the following in the simplest form:
a² x a³ ÷ a⁴

Simplify the following:

`("a"^(1/3) + "a"^(-1/3))("a"^(2/3) - 1 + "a"^(-2/3))`

Simplify the following:

`(81)^(3/4) - (1/32)^(-2/5) + 8^(1/3).(1/2)^-1. 2^0`

Simplify the following:

`(5^x xx 7 - 5^x)/(5^(x + 2) - 5^(x + 1)`

Simplify the following:

`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`