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प्रश्न
Solve for x: `(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
बेरीज
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उत्तर
`(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
⇒ `(5^(5 - 4 + x))/(5^12)` = 5−5
⇒ `(5^(1 + x))/(5^12)` = 5−5
⇒ `5^(1 + x – 12)` = 5−5
⇒ `5^(x – 11)` = 5−5
Equating the powers of same base 5.
x – 11 = – 5
x – 11 + 11 = – 5 + 11
x = 6
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संबंधित प्रश्न
Using laws of exponents, simplify and write the answer in exponential form:
(34)3
Simplify:
`((1/7)^-3)^4`
Write the following numbers using positive indices.
`(11/3)^-5`
Solve for x: `(2^(2x - 1))/(2^(x + 2))` = 4
Simplify using law of exponents.
(64)3
Simplify using law of exponents.
(xm)0
Which of the following is not equal to 1?
`[(7/11)^3]^4 = (7/11)^-`
34 > 43
Arrange in descending order:
22+3, (22)3, 2 × 22, `3^5/3^2`, 32 × 30, 23 × 52
