Simplify to a single power of 4 : 4^(4)×4 Answer: 4^◻

Given Expression Simplification: We are given the expression 4^(4)×4 and we need to simplify it to a single power of 4. According to the laws of exponents, when we multiply two powers with the same base, we add the exponents. So, 4^(4)×4 can be written as 4^(4)×4^(1) since any number to the power of 1 is itself.Applying Exponent Rule: Now we add the exponents of the same base, which is 4 in this case. So, 4^(4)×4^(1) becomes 4^(4+1).Combining Exponents: We perform the addition in the exponent. 4+1 equals 5. So, 4^(4+1) simplifies to 4^(5).

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Simplify to a single power of 4 :

4^(4)×4
Answer: 4^◻

Simplify to a single power of $4$ : $\newline$ $4^{4} \times 4$ $\newline$ Answer: $4 ^\square$

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Grade 8

Relationship between squares and square roots

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Q. Simplify to a single power of

4

\newline

4^{4} \times 4

\newline

Answer:

4 ^\square

Given Expression Simplification: We are given the expression $4^{4}\times4$ and we need to simplify it to a single power of $4$ . According to the laws of exponents, when we multiply two powers with the same base, we add the exponents. So, $4^{4}\times4$ can be written as $4^{4}\times4^{1}$ since any number to the power of $1$ is itself.
Applying Exponent Rule: Now we add the exponents of the same base, which is $4$ in this case. $\newline$ So, $4^{4}\times4^{1}$ becomes $4^{4+1}$ .
Combining Exponents: We perform the addition in the exponent. $\newline$ $4+1$ equals $5$ . $\newline$ So, $4^{(4+1)}$ simplifies to $4^{5}$ .