martinezadam576
Answered

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Simplify this expression.
[tex]\[
\frac{4^9}{4^3}
\][/tex]
[tex]\(\square\)[/tex]

Sagot :

GinnyAnswer
To simplify the expression
[tex]\[ \frac{4^9}{4^3} \][/tex]

we can use the properties of exponents. When dividing powers with the same base, we subtract the exponents. Therefore:

[tex]\[ \frac{4^9}{4^3} = 4^{9-3} = 4^6 \][/tex]

Next, we need to calculate the value of [tex]\(4^6\)[/tex]. This means multiplying 4 by itself 5 more times:

[tex]\[ 4^6 = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \][/tex]

After performing this multiplication, we find that:

[tex]\[ 4^6 = 4096 \][/tex]

So, the simplified value of the expression
[tex]\[ \frac{4^9}{4^3} \][/tex]
is [tex]\(4096\)[/tex].

[tex]\[ \boxed{4096} \][/tex]
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