Which expression is equivalent to 102 · 104?
A) 10^2
B) 10^4
C) 10^6
D) 100^6
its 10^6
10,608 is about 10^4
To find the equivalent expression, you need to multiply 102 by 104.
Step 1: Multiply 2 by 4 to get 8.
Step 2: Multiply 0 by 4 to get 0.
Step 3: Multiply 1 by 4 to get 4.
Step 4: Combine the results from steps 1-3 to get 840.
Therefore, the expression 102 · 104 is equivalent to 840.
None of the given answer choices (A) 10^2, (B) 10^4, (C) 10^6, or (D) 100^6 matches the result.
To determine which expression is equivalent to 102 · 104, we need to multiply the two numbers together.
102 · 104 = (10 × 10) × (10 × 10 × 10 × 10)
Since multiplication is associative, we can group the numbers together:
(10 × 10) × (10 × 10 × 10 × 10) = (10 × 10 × 10 × 10) × (10 × 10)
Now, we can simplify the expression:
(10 × 10) × (10 × 10 × 10 × 10) = 10^2 × 10^4
Using the property of exponents, when multiplying two numbers with the same base, we add the exponents:
10^2 × 10^4 = 10^(2 + 4)
2 + 4 = 6
Therefore, 102 · 104 is equivalent to 10^6.
Therefore, the correct answer is C) 10^6.