Learn how to solve problems step by step online. Solve the exponential equation 2^(n-6)=8^(2-n). Wenden Sie die Formel an: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, wobei a=n-6, b=2-n, x=2, y=8, x^a=2^{\left(n-6\right)}, x^a=y^b=2^{\left(n-6\right)}=8^{\left(2-n\right)} und y^b=8^{\left(2-n\right)}. Simplify \left(2^{3}\right)^{\left(2-n\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2-n. Wenden Sie die Formel an: a^b=a^c\to b=c, wobei a=2, b=n-6 und c=3\left(2-n\right). Wenden Sie die Formel an: x\left(a+b\right)=xa+xb, wobei a=2, b=-n, x=3 und a+b=2-n.

Solve the exponential equation 2^(n-6)=8^(2-n)