Question

Слушайте, 8 в 9 степени умножить на 4 в 5 степени. в задании говорится что нужно чтобы основание было 2, но суть была та же, и если можно обьясните правило

Answer 1

8⁹*4⁵=2ˣ
134217728*1024=2ˣ
2ˣ=2³⁷
x=37
Ответ: 37

Answer 2

Calculating Exponents with the Same Base

To calculate 8 raised to the power of 9 multiplied by 4 raised to the power of 5, when the base is 2, we can use the rule that states: when multiplying two powers with the same base, you can add the exponents. This rule is expressed as: \[a^m \times a^n = a^{m+n}\]

Applying the Rule

Using the given rule, we can calculate the expression as follows: \[8^9 \times 4^5 = (2^3)^9 \times (2^2)^5\]

Simplifying the Expression

Applying the rule of exponents, we can simplify the expression as: \[2^{3 \times 9} \times 2^{2 \times 5} = 2^{27} \times 2^{10}\]

Combining the Bases

To find the final result, we can combine the bases by adding the exponents: \[2^{27} \times 2^{10} = 2^{27+10} = 2^{37}\]

So, 8 raised to the power of 9 multiplied by 4 raised to the power of 5, when the base is 2, equals 2 raised to the power of 37.