Answer:
\(x^{\frac{1}{4}}\times x^{\frac{5}{8}}=x^{\frac{7}{8}}\)
Step-by-step explanation:
Given : Expression x to the 1 fourth power times x to the 5 eighths power.
To find : Multiply the expression?
Solution :
Step 1 - Write the expression,
x to the 1 fourth power - \(x^{\frac{1}{4}}\)
x to the 5 eighths power - \(x^{\frac{5}{8}}\)
Expression - \(x^{\frac{1}{4}}\times x^{\frac{5}{8}}\)
Step 2 - In multiply if bases are same power get added,
\(=x^{\frac{1}{4}+\frac{5}{8}}\)
Step 3 - Solve,
\(=x^{\frac{2+5}{8}}\)
\(=x^{\frac{7}{8}}\)
Therefore, \(x^{\frac{1}{4}}\times x^{\frac{5}{8}}=x^{\frac{7}{8}}\)
