Question

simplify 5x5^2 leaving the answer in index form​

Answer 1

Answer:

5 × 5^2

= 5^(1+2)

= 5^3

Step-by-step explanation:

Answer 2

In the case of multiplication, the addition of the power takes place. Thus, the leaving answer in index form is $\bold{5^3}$.

When two numbers with the same base, and maybe different indices are multiplied together, then the result would be the addition of the indices, and when two numbers with the same base, and maybe different indices are divided together, then the result would be the subtraction of the indices.

Example:

$a^m \cdot a^n=a^{(m+n)}$

$\dfrac{a^m}{a^n}=a^{(m-n)}$

We have to simplify $5 \cdot 5^2$.

$\begin{aligned}5 \cdot 5^2&=5^1 \cdot 5^2\\&=5^3 \end{aligned}$

Thus, the value of the expression is $\bold{5^3}$

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