Exponentials

Hong Kong

Stage 4 - Stage 5

Evaluate:

a

$3^4$34

b

$5\times3^4$5×34

Easy

Less than a minute

Using index laws, determine which equation is the same as $y=5^{x+2}$`y`=5`x`+2.

Consider the equation $y=5\times4^x$`y`=5×4`x`.

Find the value of $y$`y` when:

Using a graphing calculator, graph the curves of $y=e^x$`y`=`e``x`, $y=e^x+2$`y`=`e``x`+2, and $y=e^x-3$`y`=`e``x`−3 on the same screen.

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