Question

(-5)⁴×(3/5)⁴ please answer ​

Answer 1

To solve : $(-5)^{4} \times (\frac{3}{5}) ^{4}$

Solution:

• Multiplication is a process of repetitive addition of integers.

• Multiplication rules for integers :

1. If two negative integers are multiplied then the product obtained is positive integer. i.e. $(-) \times(-)=+$
2. If one negative and one positive integers are multiplied then the product obtained is negative integer. i.e. $(-) \times(+)=-$
3. If both positive integers are multiplied then the product obtained is positive integer. i.e.$(+) \times(+)=+$

• Therefore according to above rule we solve .

      $(-5)^{4} \times (\frac{3}{5}) ^{4}$

      $= 625 \times \frac{81}{625} \\= 81$

Hence, $81$  is the product.