Sure! Let's solve the equation step-by-step to find the missing exponent.
We are given the equation:
[tex]\[ 5.6 \times 10^{\square}= 56,000 \][/tex]
Step 1: Divide both sides of the equation by 5.6 to isolate the power of 10:
[tex]\[ 10^{\square} = \frac{56,000}{5.6} \][/tex]
Step 2: Perform the division:
[tex]\[ \frac{56,000}{5.6} = 10,000 \][/tex]
Step 3: We know that:
[tex]\[ 10,000 = 10^4 \][/tex]
So, we have:
[tex]\[ 10^{\square} = 10^4 \][/tex]
Step 4: Since the base of 10 is the same, the exponents must be equal:
[tex]\[ \square = 4 \][/tex]
Therefore, the missing exponent is [tex]\(\boxed{4}\)[/tex].
