Answer:
4^12
Step-by-step explanation:
4^9 * 4^3
We know that a^b * a^c = a^ (b+c)
4^9 * 4^3
4^(9+3)
4^12
The answer to the question "simplify [tex]4^9 \times 4^3[/tex] " is [tex]4^{11}[/tex]
The given expression is:
[tex]4^9 \times 4^3[/tex]
According to the law of indices
[tex]a^b \times a^c = a^{b+c}[/tex]
This means that you will use a single base and add the exponents together
Applying the law of indices above to the given expression
[tex]4^9 \times 4^3\\\\= 4^{9+3}\\[/tex]
After simplification, the expression finally becomes
[tex]4^{11}[/tex]
Therefore the result of the expression [tex]4^9 \times 4^3[/tex] is [tex]4^{11}[/tex]
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