Evaluation of {(7)0 (4)-1}×(2)2

Exponents and powers are an important topic in mathematics, and it is essential to understand the rules and properties associated with them. Let's evaluate the expression {(7)0 (4)-1}×(2)2 step-by-step.

1. Understanding the exponent

The exponent of a number represents the number of times the base is multiplied by itself. For example, in 2³, the base is 2, and the exponent is 3, which means that 2 is multiplied by itself three times.

2. Applying the exponent rule

Any number raised to the power of 0 is equal to 1. Therefore, (7)0 equals 1.

3. Simplifying the expression

Now, let's simplify the expression {(7)0 (4)-1}×(2)2 using the rules of exponents.

{(7)0 (4)-1}×(2)2
= 1 × (1/4) × 4
= 1/4 × 4
= 1

Therefore, the value of the expression is 1.

Conclusion

In conclusion, the expression {(7)0 (4)-1}×(2)2 evaluates to 1. It is essential to understand the rules of exponents and powers to simplify expressions quickly and accurately.

{(7*0) +4-1}*(2*2)
=(0+3) +4
=3+4
=7(the answer)