1
Yes.
e
Log 200=a can be converted to an exponential equation if we know the base of the log. Let's assume it is 10 and you can change the answer accordingly if it is something else. 10^a=200 would be the exponential equation. For a base b, we would have b^a=200
The exponential form of 2187 is 3^7. This is because 3 raised to the power of 7 equals 2187. In exponential form, the base (3) is raised to the power of the exponent (7) to give the result (2187).
114
Yes.
e
The number in an exponential expression that is repeatedly multiplied is called the "base." In an expression like ( a^n ), ( a ) is the base, and ( n ) is the exponent, which indicates how many times the base is multiplied by itself.
No.
You can but it has no particular significance.
The expression (7 \times 7 \times 7) can be written in exponential form as (7^3). This is because the base (7) is multiplied by itself three times.
The expression (5 \times 5 \times 5 \times 5) can be written as an exponential expression by using the base (5) and the exponent (4), since there are four factors of (5). Therefore, it can be expressed as (5^4).
The simplest exponential form refers to expressing a number or an algebraic expression as a power of a base. For example, the number 8 can be represented in simplest exponential form as (2^3) because (2) multiplied by itself three times equals (8). Similarly, an expression like (x^2 \cdot x^3) can be simplified to (x^{2+3} = x^5). The goal is to present the expression in the most concise and clear manner using exponents.
To write an equivalent expression in exponential notation, identify repeated multiplication of the same base. For example, instead of writing (2 \times 2 \times 2), you can express it as (2^3) since the base 2 is multiplied three times. Ensure that the expression is simplified and that any coefficients are correctly represented as part of the exponential form if applicable. Finally, check that the equivalent expression maintains the original value.
2^5=32
An exponential expression is a problem with no answer usually used to answer a question such as, Find the Value ; 2 as a base and 5 as an exponent.; The answer would be 32 because to find the value of an exponent you multiply the number in the base by itself as many times that it says in the exponent.Ex: 2*2*2*2*2=32
The expression (7 \times 7 \times 7) can be written in exponential form as (7^3). This indicates that the base, 7, is multiplied by itself three times.