Select all the expression(s) with same base.

7^{3}

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3^{7}

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5^{3}

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7^{2}

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Solution

The correct option is D $7^{2}$

Let's list down the bases in all the given expressions.

$Expression$ $Base$

$7^{3}$ $7$

$3^{7}$ $3$

$5^{3}$ $5$

$7^{2}$ $7$

As per the above table, we can see that $7^{3}$ and $7^{2}$ have the same base, which is $7.$

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Question 153(ii)

In a repeater machine with 0 as an exponent, the base machine is applied 0 times.
What do you think the value of $6^{o}$ is ?
You have seen that a hook up of repeater machines with the same base can be replaced by a single repeater machine. Similarly, when you multiply exponential expressions with the same base, you can replace them with a single expression.
Asif Raza thought about how he could rewrite the expression $2^{2} 0 \times 2^{5}$ .

Asif Raza's idea is one of the product laws of exponents, which can be expressed like this
Multiplying Expressions with the same base $a^{b} \times a^{c} = a^{b + c}$
Actually, this law can be used with more than two expressions. As long as the bases are the same, to find the product you can add the exponents and use the same base.
e.g. $3^{2} \times 3^{3} \times 3^{10} = 3^{2 + 3 + 10} = 3^{15}$

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Select all the expression(s) with same base.

The correct option is D 72 Let's list down the bases in all the given expressions. Expression Base 73 7 37 3 53 5 72 7 As per the above table, we can see that 73 and 72 have the same base, which is 7.

The correct option is D $7^{2}$

Let's list down the bases in all the given expressions.

$Expression$ $Base$

$7^{3}$ $7$

$3^{7}$ $3$

$5^{3}$ $5$

$7^{2}$ $7$

As per the above table, we can see that $7^{3}$ and $7^{2}$ have the same base, which is $7.$