Complete each statement by writing the missing value in the box - OCR - GCSE Maths - Question 3 - 2019 - Paper 1

In the equation $2^{\frac{1}{3}} = 3$, we can rewrite it to find the missing value. The cube root of 2 can be calculated as:

$x = 2^{\frac{1}{3}}$

To match this with the value of 3, we can rewrite the cube root:

This directly implies:

$2^{\frac{1}{3}} = 3$

Therefore, the missing value is simply represented by $$2^{\frac{1}{3}}.$

For this multiplication statement $7 \times 7 \times 7 \times 7 = 7$, it appears there’s a misunderstanding, as the left-hand side evaluates to:

$7^4 = 2401$

So, the correct interpretation indicates:

This is not equal to 7. Hence, we need to establish that the equation actually should equate to:

$x = 7$ as a claim, but it actually isn’t true. The multiplication simplifies to:

[\text{Thus, it should hold true: } 2401 \neq 7]

Thus, the statement provided does not hold as equations in mathematics should balance.