Sure, let's solve the problem step-by-step.
Given expression:
[tex]\[ 4.88 \times 10^{-5} \times 2.5 \times 10^4 \][/tex]
Step 1: Separate the numerical coefficients and the powers of 10.
[tex]\[ (4.88 \times 2.5) \times (10^{-5} \times 10^4) \][/tex]
Step 2: Multiply the numerical coefficients.
[tex]\[ 4.88 \times 2.5 \][/tex]
Step 3: Multiply the powers of 10, using the rule for exponents [tex]\( a^m \times a^n = a^{m+n} \)[/tex].
[tex]\[ 10^{-5} \times 10^4 = 10^{-5 + 4} = 10^{-1} \][/tex]
Step 4: Now, multiply the numerical result with [tex]\( 10^{-1} \)[/tex].
[tex]\[ 4.88 \times 2.5 = 12.2 \][/tex]
[tex]\[ \Rightarrow 12.2 \times 10^{-1} \][/tex]
Step 5: Convert the result back to a non-exponential form.
[tex]\[ 12.2 \times 10^{-1} = 1.22 \][/tex]
Therefore, the final result is:
[tex]\[ 1.22 \][/tex]
