Express as a single power of 10: 10−3102103=10𝑑
Question
Express as a single power of 10: 10−3102103=10𝑑
Solution
To express the given expression as a single power of 10, we need to use the laws of exponents.
The expression is: 10^-3 * 10^2 * 10^3
Step 1: According to the law of exponents, when multiplying like bases, you add the exponents.
So, the expression simplifies to: 10^(-3 + 2 + 3)
Step 2: Simplify the exponent: -3 + 2 + 3 = 2
So, the expression simplifies to: 10^2
Therefore, 10^-3 * 10^2 * 10^3 = 10^2.
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