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$Mr. Miller presented his class with the followi (7.5*10^(4))(p*10^(q))=1.5*10^(8) What are possible values of p and q ? {:[p=],[q=]:}$

Mr. Miller presented his class with the followi $\newline$ $\left(7.5 \cdot 10^{4}\right)\left(p \cdot 10^{q}\right)=1.5 \cdot 10^{8}$ $\newline$ What are possible values of $p$ and $q$ ? $\newline$ $\begin{array}{l} p= \\ q= \end{array}$

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Divide numbers written in scientific notation

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Q. Mr. Miller presented his class with the followi

\newline

\left(7.5 \cdot 10^{4}\right)\left(p \cdot 10^{q}\right)=1.5 \cdot 10^{8}

\newline

What are possible values of

p

and

q

?

\newline

\begin{array}{l} p= \\ q= \end{array}

Multiply Coefficients and Powers: First, let's multiply the coefficients ( $7.5$ and $p$ ) and the powers of $10$ separately. $\newline$ $7.5 \times p = 1.5$
Solve for p: Now, let's solve for $p$ by dividing both sides by $7.5$ . $p = \frac{1.5}{7.5}$ $p = 0.2$
Multiply Powers of $10$ : Next, we multiply the powers of $10$ . $10^{4+q} = 10^{8}$
Solve for q: Now, let's solve for q by equating the exponents. $\newline$ $4 + q = 8$ $\newline$ $q = 8 - 4$ $\newline$ $q = 4$

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