5 into 9 into 10 raise to power 6 / 2 also explain me after solving this one part of standard form of experience that

Step 1: Multiply the numerical factors in the numerator

First, we multiply the numbers $5$ and $9$ in the numerator, which gives $45$. The factor $10^6$ remains unchanged.

Step 2: Divide the numerical factor by 2

Next, we divide the constant $45$ by the denominator $2$. This gives $22.5$, so the expression becomes $22.5 \times 10^6$.

Step 3: Convert into standard form

In standard form, a number is written as $m \times 10^n$, where $1 \le m < 10$ and $n$ is an integer. We express $22.5$ as $2.25 \times 10^1$, and then combine the exponents using the law $10^a \times 10^b = 10^{a+b}$ to obtain $2.25 \times 10^7$.

More from this chapter

• Find the last two digits of 7^(7^7).
• A plague infects ten people. Every day, each infected person infects six others. How many people are infected after three days?
• The exponent of 3 in the prime factorisation of 243 is:

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