Evaluate the following expression. (5^(4))/(5)+4=

Identify Base and Exponent: Identify the base and the exponent in the first part of the expression. In the expression (5^(4))/(5)+4, 5 is the base raised to the exponent 4. Base: 5 Exponent: 4Calculate 5 raised to the power of 4: Calculate the value of 5 raised to the power of 4. 5^4 means 5 is multiplied by itself 4 times. 5^4 = 5 × 5 × 5 × 5 = 625Divide result by 5: Divide the result of 5^4 by 5. (5^4)/5 = 625/5 Now, perform the division. 625/5 = 125Add 4 to the result: Add 4 to the result of the division. 125 + 4 = 129

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate the following expression.

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\frac{5^{4}}{5}+4=

Identify Base and Exponent: Identify the base and the exponent in the first part of the expression. $\newline$ In the expression $(5^{4})/(5)+4$ , $5$ is the base raised to the exponent $4$ . $\newline$ Base: $5$ $\newline$ Exponent: $4$
Calculate $5$ raised to the power of $4$ : Calculate the value of $5$ raised to the power of $4$ . $\newline$ $5^4$ means $5$ is multiplied by itself $4$ times. $\newline$ $5^4 = 5 \times 5 \times 5 \times 5 = 625$
Divide result by $5$ : Divide the result of $5^4$ by $5$ . $\newline$ $\frac{5^4}{5} = \frac{625}{5}$ $\newline$ Now, perform the division. $\newline$ $\frac{625}{5} = 125$
Add $4$ to the result: Add $4$ to the result of the division. $125 + 4 = 129$