Answer:
2[tex]^{-\frac{19}{2} }[/tex]
Step-by-step explanation:
Given expression:
(√4)⁻⁷ x (√2)⁻⁵
To solve this problem, we are going to use some rules of exponent;
(√4)⁻⁷ x (√2)⁻⁵
4 = 2²
= (√2²)⁻⁷ x (√2)⁻⁵
√x² = x [tex]^{2x \frac{1}{2} }[/tex]
= ( 2[tex]^{2x\frac{1}{2} }[/tex]) ⁻⁷ x (2[tex]^{\frac{1}{2 }[/tex])⁻⁵
= 2⁻⁷ x 2[tex]-\frac{5}{2}[/tex]
aˣ x aⁿ = aˣ⁺ⁿ
So;
2⁻⁷ x 2[tex]-\frac{5}{2}[/tex] = 2[tex]^{-7 + (-\frac{5}{2} )}[/tex]
= 2[tex]^{-7 - \frac{5}{2} }[/tex]
= 2[tex]^{-\frac{19}{2} }[/tex]
