How do you find the product $9^{4} \cdot 9^{5}$ $9^4*9^5$ ?

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Answer 1 · 2017-04-19T12:03:52

Use this rule of exponents: $x^{a} \times x^{b} = x^{a + b}$ $x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))$

$9^{4} \cdot 9^{5} = 9^{4 + 5} = 9^{9}$ $9^color(red)(4) * 9^color(blue)(5) = 9^(color(red)(4) + color(blue)(5)) = 9^9$

Answer 2 · 2017-04-19T12:06:07

$9^{9}$ $9^9$

When finding the product that contains indices, since it has the same base you simply add the indices together.

That is the multiplication law of indices.

$9^{4 + 5}$ $9^(4+5)$ = $9^{9}$ $9^9$

How do you find the product 94⋅959^4*9^5?