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$2.3$ to the power of $10$ over $2.3$ to the power of $6$

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Solve percent equations

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Q.

2.3

to the power of

10

over

2.3

to the power of

6

Convert Fraction of Exponents: Convert the problem into a fraction of exponents. $\newline$ Calculation: $(2.3^{10}) / (2.3^{6})$
Apply Exponent Property: Use the property of exponents that states $(a^m) / (a^n) = a^{(m-n)}$ when the bases are the same. $\newline$ Calculation: $2.3^{(10-6)} = 2.3^4$
Calculate Exponent: Calculate $2.3$ to the power of $4$ . $\newline$ Calculation: $2.3 \times 2.3 \times 2.3 \times 2.3$
Perform Multiplication: Perform the multiplication. $\newline$ Calculation: $2.3 \times 2.3 = 5.29$ , then $5.29 \times 2.3 = 12.167$ , and finally $12.167 \times 2.3 = 27.9841$

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