You might want to work on your notation. According to the PEMDAS rules, that string parses as: ##( x^3 \cdot x ) + 2##enggM said:When one was reading some review books for engineering mathematics one has come across that kind of notation, below, and where to find books or materials that deals with these kinds of exponents, they look like this>> x^3x+2.
To solve an exponent with a variable, you need to use the laws of exponents. The most commonly used laws are the power rule, product rule, and quotient rule. These rules can help you simplify and solve expressions with variables raised to exponents.
The power rule states that when a variable is raised to an exponent, and that entire expression is raised to another exponent, you can multiply the exponents together. For example, (x^2)^3 = x^6.
The product rule states that when you multiply two expressions with the same base, but different exponents, you can add the exponents together. For example, x^3 * x^4 = x^(3+4) = x^7.
Yes, the quotient rule can also be used to solve exponents with variables. This rule states that when you divide two expressions with the same base, but different exponents, you can subtract the exponents. For example, x^5 / x^2 = x^(5-2) = x^3.
Yes, the order of operations still applies when using the laws of exponents. You should simplify within parentheses first, then use the power rule, followed by the product rule, and finally the quotient rule. If there are multiple exponents, you can use the power rule multiple times until the expression is simplified.