The value of m for which \([\{(\frac{1}{{7}^2})^{-2}\}^{-\frac{1}{3}}

1.	The value of m for which \([\{(\frac{1}{{7}^2})^{-2}\}^{-\frac{1}{3}}]^{\frac{1}{4}}\) = 7m, isA. \(-\frac{1}{3}\)B. \(\frac{1}4\)C. -3D. 2
Answer» [{7⁴} ^-1/3]^1/4 = (1/7⁴)^1/3 ^{× 1/4} = (1/7)^1/3= 7^m = 7^-1/3 = 7^m = m = -1/3

The value of m for which \([\{(\frac{1}{{7}^2})^{-2}\}^{-\frac{1}{3}}]^{\frac{1}{4}}\) = 7m, isA. \(-\frac{1}{3}\)B. \(\frac{1}4\)C. -3D. 2

Answer»

[{7⁴} ^-1/3]^1/4

= (1/7⁴)^1/3 ^{× 1/4}

= (1/7)^1/3= 7^m

= 7^-1/3 = 7^m

= m = -1/3