Question

write $10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10$ as a power of 10 using exponents. a $10^3$ b $10^6$ c $10^9$ d $10^{10}$

Explanation:

Step1: Recall exponent definition

An exponent \(a^n\) means \(a\) multiplied by itself \(n\) times. Here, \(a = 10\), count how many times 10 is multiplied.

Step2: Count the number of 10s

The expression is \(10\times10\times10\times10\times10\times10\times10\times10\times10\). Let's count: 1st 10, 2nd, 3rd, 4th, 5th, 6th, 7th, 8th, 9th. So there are 9 factors of 10.

Step3: Write as exponent

So \(10\times10\times\cdots\times10\) (9 times) is \(10^9\).

Answer:

C. \(10^9\)