Advertisements
Advertisements
प्रश्न
Find x.
`(- 1/7)^-5 ÷ (- 1/7)^-7 = (-7)^x`
योग
उत्तर
Using law of exponents, am ÷ an = (a)m – n ...[∵ a is non-zero integer]
Then, `(- 1/7)^(-5 + 7) = (-7)^x`
⇒ `(- 1/7)^2 = (- 7)^x`
⇒ (–7)–2 = (–7)x
On comapring powers of (–7), we get x = –2
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Exponents and Powers - Exercise [पृष्ठ २७४]
APPEARS IN
संबंधित प्रश्न
Simplify and write the answer in the exponential form.
(25 ÷ 28)5 × 2-5
For a non-zero integer x, x7 ÷ x12 is equal to ______.
The value of [3–1 × 4–1]2 is ______.
`(-8/2)^0 = 0`
The value of `1/4^-2` is equal to 16.
`x^m/y^m = (y/x)^-m`
`a^m = 1/a^-m`
Simplify:
`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`
Use the properties of exponents to verify that statement is true.
`4^(n - 1) = 1/4(4)^n`
Supply the missing information for diagram.